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Finding the Fourth Proportional to 3,684.91, 5,503.92 and 3,166.42

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Solution

The fourth proportional to 3,684.91, 5,503.92 and 3,166.42 is: 4,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.91 : 5,503.92 = 3,166.42 : x
  2. Step 2: Convert to fraction form
    3,684.91/5,503.92 = 3,166.42/x
  3. Step 3: Cross multiply
    3,684.91x = 5,503.92 × 3,166.42
  4. Step 4: Simplify right side
    3,684.91x = 17,427,722.37
  5. Step 5: Solve for x
    x = 17,427,722.37/3,684.91
  6. Step 6: Final answer
    x = 4,729.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.