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Finding the Fourth Proportional to 3,737.74, 5,158.32 and 2,059.52

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Solution

The fourth proportional to 3,737.74, 5,158.32 and 2,059.52 is: 2,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.74 : 5,158.32 = 2,059.52 : x
  2. Step 2: Convert to fraction form
    3,737.74/5,158.32 = 2,059.52/x
  3. Step 3: Cross multiply
    3,737.74x = 5,158.32 × 2,059.52
  4. Step 4: Simplify right side
    3,737.74x = 10,623,627.12
  5. Step 5: Solve for x
    x = 10,623,627.12/3,737.74
  6. Step 6: Final answer
    x = 2,842.26

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