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Finding the Fourth Proportional to 4,129.96, 5,697.49 and 2,451.43

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Solution

The fourth proportional to 4,129.96, 5,697.49 and 2,451.43 is: 3,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.96 : 5,697.49 = 2,451.43 : x
  2. Step 2: Convert to fraction form
    4,129.96/5,697.49 = 2,451.43/x
  3. Step 3: Cross multiply
    4,129.96x = 5,697.49 × 2,451.43
  4. Step 4: Simplify right side
    4,129.96x = 13,966,997.91
  5. Step 5: Solve for x
    x = 13,966,997.91/4,129.96
  6. Step 6: Final answer
    x = 3,381.87

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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.