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Finding the Fourth Proportional to 5,638.47, 7,781.13 and 3,399.90

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Solution

The fourth proportional to 5,638.47, 7,781.13 and 3,399.90 is: 4,691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.47 : 7,781.13 = 3,399.90 : x
  2. Step 2: Convert to fraction form
    5,638.47/7,781.13 = 3,399.90/x
  3. Step 3: Cross multiply
    5,638.47x = 7,781.13 × 3,399.90
  4. Step 4: Simplify right side
    5,638.47x = 26,455,063.89
  5. Step 5: Solve for x
    x = 26,455,063.89/5,638.47
  6. Step 6: Final answer
    x = 4,691.89

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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.