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Finding the Fourth Proportional to 5,638.52, 7,781.10 and 3,120.64

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Solution

The fourth proportional to 5,638.52, 7,781.10 and 3,120.64 is: 4,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.52 : 7,781.10 = 3,120.64 : x
  2. Step 2: Convert to fraction form
    5,638.52/7,781.10 = 3,120.64/x
  3. Step 3: Cross multiply
    5,638.52x = 7,781.10 × 3,120.64
  4. Step 4: Simplify right side
    5,638.52x = 24,282,004.15
  5. Step 5: Solve for x
    x = 24,282,004.15/5,638.52
  6. Step 6: Final answer
    x = 4,306.45

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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.