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Finding the Fourth Proportional to 5,638.52, 7,781.46 and 3,543.32

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Solution

The fourth proportional to 5,638.52, 7,781.46 and 3,543.32 is: 4,889.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.52 : 7,781.46 = 3,543.32 : x
  2. Step 2: Convert to fraction form
    5,638.52/7,781.46 = 3,543.32/x
  3. Step 3: Cross multiply
    5,638.52x = 7,781.46 × 3,543.32
  4. Step 4: Simplify right side
    5,638.52x = 27,572,202.85
  5. Step 5: Solve for x
    x = 27,572,202.85/5,638.52
  6. Step 6: Final answer
    x = 4,889.97

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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.