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Finding the Fourth Proportional to 5,542.40, 7,644.60 and 3,302.55

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Solution

The fourth proportional to 5,542.40, 7,644.60 and 3,302.55 is: 4,555.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.40 : 7,644.60 = 3,302.55 : x
  2. Step 2: Convert to fraction form
    5,542.40/7,644.60 = 3,302.55/x
  3. Step 3: Cross multiply
    5,542.40x = 7,644.60 × 3,302.55
  4. Step 4: Simplify right side
    5,542.40x = 25,246,673.73
  5. Step 5: Solve for x
    x = 25,246,673.73/5,542.40
  6. Step 6: Final answer
    x = 4,555.19

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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.