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Finding the Fourth Proportional to 5,462.72, 7,537.40 and 3,472.55

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Solution

The fourth proportional to 5,462.72, 7,537.40 and 3,472.55 is: 4,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.72 : 7,537.40 = 3,472.55 : x
  2. Step 2: Convert to fraction form
    5,462.72/7,537.40 = 3,472.55/x
  3. Step 3: Cross multiply
    5,462.72x = 7,537.40 × 3,472.55
  4. Step 4: Simplify right side
    5,462.72x = 26,174,046.54
  5. Step 5: Solve for x
    x = 26,174,046.54/5,462.72
  6. Step 6: Final answer
    x = 4,791.39

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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.