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Finding the Fourth Proportional to 5,542.08, 7,648.80 and 3,862.40

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Solution

The fourth proportional to 5,542.08, 7,648.80 and 3,862.40 is: 5,330.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.08 : 7,648.80 = 3,862.40 : x
  2. Step 2: Convert to fraction form
    5,542.08/7,648.80 = 3,862.40/x
  3. Step 3: Cross multiply
    5,542.08x = 7,648.80 × 3,862.40
  4. Step 4: Simplify right side
    5,542.08x = 29,542,725.12
  5. Step 5: Solve for x
    x = 29,542,725.12/5,542.08
  6. Step 6: Final answer
    x = 5,330.62

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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.