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Finding the Fourth Proportional to 4,127.82, 5,695.02 and 2,449.74

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Solution

The fourth proportional to 4,127.82, 5,695.02 and 2,449.74 is: 3,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.82 : 5,695.02 = 2,449.74 : x
  2. Step 2: Convert to fraction form
    4,127.82/5,695.02 = 2,449.74/x
  3. Step 3: Cross multiply
    4,127.82x = 5,695.02 × 2,449.74
  4. Step 4: Simplify right side
    4,127.82x = 13,951,318.29
  5. Step 5: Solve for x
    x = 13,951,318.29/4,127.82
  6. Step 6: Final answer
    x = 3,379.83

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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.