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Finding the Fourth Proportional to 5,542.25, 7,648.16 and 3,024.41

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Solution

The fourth proportional to 5,542.25, 7,648.16 and 3,024.41 is: 4,173.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.25 : 7,648.16 = 3,024.41 : x
  2. Step 2: Convert to fraction form
    5,542.25/7,648.16 = 3,024.41/x
  3. Step 3: Cross multiply
    5,542.25x = 7,648.16 × 3,024.41
  4. Step 4: Simplify right side
    5,542.25x = 23,131,171.59
  5. Step 5: Solve for x
    x = 23,131,171.59/5,542.25
  6. Step 6: Final answer
    x = 4,173.61

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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.