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Finding the Fourth Proportional to 3,697.29, 5,104.14 and 2,856.11

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Solution

The fourth proportional to 3,697.29, 5,104.14 and 2,856.11 is: 3,942.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.29 : 5,104.14 = 2,856.11 : x
  2. Step 2: Convert to fraction form
    3,697.29/5,104.14 = 2,856.11/x
  3. Step 3: Cross multiply
    3,697.29x = 5,104.14 × 2,856.11
  4. Step 4: Simplify right side
    3,697.29x = 14,577,985.30
  5. Step 5: Solve for x
    x = 14,577,985.30/3,697.29
  6. Step 6: Final answer
    x = 3,942.88

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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.