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Finding the Fourth Proportional to 3,781.40, 5,663.46 and 2,239.16

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Solution

The fourth proportional to 3,781.40, 5,663.46 and 2,239.16 is: 3,353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.40 : 5,663.46 = 2,239.16 : x
  2. Step 2: Convert to fraction form
    3,781.40/5,663.46 = 2,239.16/x
  3. Step 3: Cross multiply
    3,781.40x = 5,663.46 × 2,239.16
  4. Step 4: Simplify right side
    3,781.40x = 12,681,393.09
  5. Step 5: Solve for x
    x = 12,681,393.09/3,781.40
  6. Step 6: Final answer
    x = 3,353.62

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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.