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Finding the Fourth Proportional to 3,992.76, 5,506.52 and 3,328.16

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Solution

The fourth proportional to 3,992.76, 5,506.52 and 3,328.16 is: 4,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.76 : 5,506.52 = 3,328.16 : x
  2. Step 2: Convert to fraction form
    3,992.76/5,506.52 = 3,328.16/x
  3. Step 3: Cross multiply
    3,992.76x = 5,506.52 × 3,328.16
  4. Step 4: Simplify right side
    3,992.76x = 18,326,535.43
  5. Step 5: Solve for x
    x = 18,326,535.43/3,992.76
  6. Step 6: Final answer
    x = 4,589.94

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.