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Finding the Fourth Proportional to 3,657.86, 5,487.32 and 1,158.20

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Solution

The fourth proportional to 3,657.86, 5,487.32 and 1,158.20 is: 1,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.86 : 5,487.32 = 1,158.20 : x
  2. Step 2: Convert to fraction form
    3,657.86/5,487.32 = 1,158.20/x
  3. Step 3: Cross multiply
    3,657.86x = 5,487.32 × 1,158.20
  4. Step 4: Simplify right side
    3,657.86x = 6,355,414.02
  5. Step 5: Solve for x
    x = 6,355,414.02/3,657.86
  6. Step 6: Final answer
    x = 1,737.47

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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.