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Finding the Fourth Proportional to 5,542.24, 7,648.41 and 3,024.40

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Solution

The fourth proportional to 5,542.24, 7,648.41 and 3,024.40 is: 4,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.24 : 7,648.41 = 3,024.40 : x
  2. Step 2: Convert to fraction form
    5,542.24/7,648.41 = 3,024.40/x
  3. Step 3: Cross multiply
    5,542.24x = 7,648.41 × 3,024.40
  4. Step 4: Simplify right side
    5,542.24x = 23,131,851.20
  5. Step 5: Solve for x
    x = 23,131,851.20/5,542.24
  6. Step 6: Final answer
    x = 4,173.74

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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.