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Finding the Fourth Proportional to 5,542.47, 7,648.68 and 3,024.56

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Solution

The fourth proportional to 5,542.47, 7,648.68 and 3,024.56 is: 4,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.47 : 7,648.68 = 3,024.56 : x
  2. Step 2: Convert to fraction form
    5,542.47/7,648.68 = 3,024.56/x
  3. Step 3: Cross multiply
    5,542.47x = 7,648.68 × 3,024.56
  4. Step 4: Simplify right side
    5,542.47x = 23,133,853.34
  5. Step 5: Solve for x
    x = 23,133,853.34/5,542.47
  6. Step 6: Final answer
    x = 4,173.92

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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.