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Finding the Fourth Proportional to 5,542.59, 7,648.75 and 3,024.68

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Solution

The fourth proportional to 5,542.59, 7,648.75 and 3,024.68 is: 4,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.59 : 7,648.75 = 3,024.68 : x
  2. Step 2: Convert to fraction form
    5,542.59/7,648.75 = 3,024.68/x
  3. Step 3: Cross multiply
    5,542.59x = 7,648.75 × 3,024.68
  4. Step 4: Simplify right side
    5,542.59x = 23,135,032.71
  5. Step 5: Solve for x
    x = 23,135,032.71/5,542.59
  6. Step 6: Final answer
    x = 4,174.05

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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.