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Finding the Fourth Proportional to 5,729.64, 8,593.08 and 3,646.52

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Solution

The fourth proportional to 5,729.64, 8,593.08 and 3,646.52 is: 5,468.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.64 : 8,593.08 = 3,646.52 : x
  2. Step 2: Convert to fraction form
    5,729.64/8,593.08 = 3,646.52/x
  3. Step 3: Cross multiply
    5,729.64x = 8,593.08 × 3,646.52
  4. Step 4: Simplify right side
    5,729.64x = 31,334,838.08
  5. Step 5: Solve for x
    x = 31,334,838.08/5,729.64
  6. Step 6: Final answer
    x = 5,468.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.