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Finding the Fourth Proportional to 3,700.30, 5,098.53 and 2,861.14

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Solution

The fourth proportional to 3,700.30, 5,098.53 and 2,861.14 is: 3,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.30 : 5,098.53 = 2,861.14 : x
  2. Step 2: Convert to fraction form
    3,700.30/5,098.53 = 2,861.14/x
  3. Step 3: Cross multiply
    3,700.30x = 5,098.53 × 2,861.14
  4. Step 4: Simplify right side
    3,700.30x = 14,587,608.12
  5. Step 5: Solve for x
    x = 14,587,608.12/3,700.30
  6. Step 6: Final answer
    x = 3,942.28

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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.