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Finding the Fourth Proportional to 5,542.79, 7,648.90 and 3,024.95

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Solution

The fourth proportional to 5,542.79, 7,648.90 and 3,024.95 is: 4,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.79 : 7,648.90 = 3,024.95 : x
  2. Step 2: Convert to fraction form
    5,542.79/7,648.90 = 3,024.95/x
  3. Step 3: Cross multiply
    5,542.79x = 7,648.90 × 3,024.95
  4. Step 4: Simplify right side
    5,542.79x = 23,137,494.25
  5. Step 5: Solve for x
    x = 23,137,494.25/5,542.79
  6. Step 6: Final answer
    x = 4,174.34

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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.