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Finding the Fourth Proportional to 3,763.75, 5,194.59 and 3,597.64

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Solution

The fourth proportional to 3,763.75, 5,194.59 and 3,597.64 is: 4,965.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.75 : 5,194.59 = 3,597.64 : x
  2. Step 2: Convert to fraction form
    3,763.75/5,194.59 = 3,597.64/x
  3. Step 3: Cross multiply
    3,763.75x = 5,194.59 × 3,597.64
  4. Step 4: Simplify right side
    3,763.75x = 18,688,264.77
  5. Step 5: Solve for x
    x = 18,688,264.77/3,763.75
  6. Step 6: Final answer
    x = 4,965.33

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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.