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Finding the Fourth Proportional to 5,472.67, 7,534.03 and 5,221.60

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Solution

The fourth proportional to 5,472.67, 7,534.03 and 5,221.60 is: 7,188.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.67 : 7,534.03 = 5,221.60 : x
  2. Step 2: Convert to fraction form
    5,472.67/7,534.03 = 5,221.60/x
  3. Step 3: Cross multiply
    5,472.67x = 7,534.03 × 5,221.60
  4. Step 4: Simplify right side
    5,472.67x = 39,339,691.05
  5. Step 5: Solve for x
    x = 39,339,691.05/5,472.67
  6. Step 6: Final answer
    x = 7,188.39

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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.