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Finding the Fourth Proportional to 5,542.20, 7,647.93 and 3,024.31

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Solution

The fourth proportional to 5,542.20, 7,647.93 and 3,024.31 is: 4,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.20 : 7,647.93 = 3,024.31 : x
  2. Step 2: Convert to fraction form
    5,542.20/7,647.93 = 3,024.31/x
  3. Step 3: Cross multiply
    5,542.20x = 7,647.93 × 3,024.31
  4. Step 4: Simplify right side
    5,542.20x = 23,129,711.18
  5. Step 5: Solve for x
    x = 23,129,711.18/5,542.20
  6. Step 6: Final answer
    x = 4,173.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.