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Finding the Fourth Proportional to 3,700.05, 5,102.69 and 2,892.61

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Solution

The fourth proportional to 3,700.05, 5,102.69 and 2,892.61 is: 3,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.05 : 5,102.69 = 2,892.61 : x
  2. Step 2: Convert to fraction form
    3,700.05/5,102.69 = 2,892.61/x
  3. Step 3: Cross multiply
    3,700.05x = 5,102.69 × 2,892.61
  4. Step 4: Simplify right side
    3,700.05x = 14,760,092.12
  5. Step 5: Solve for x
    x = 14,760,092.12/3,700.05
  6. Step 6: Final answer
    x = 3,989.16

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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.