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Finding the Fourth Proportional to 3,617.43, 5,426.13 and 2,159.43

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Solution

The fourth proportional to 3,617.43, 5,426.13 and 2,159.43 is: 3,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.43 : 5,426.13 = 2,159.43 : x
  2. Step 2: Convert to fraction form
    3,617.43/5,426.13 = 2,159.43/x
  3. Step 3: Cross multiply
    3,617.43x = 5,426.13 × 2,159.43
  4. Step 4: Simplify right side
    3,617.43x = 11,717,347.91
  5. Step 5: Solve for x
    x = 11,717,347.91/3,617.43
  6. Step 6: Final answer
    x = 3,239.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.