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Finding the Fourth Proportional to 5,488.50, 7,572.56 and 3,249.38

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Solution

The fourth proportional to 5,488.50, 7,572.56 and 3,249.38 is: 4,483.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.50 : 7,572.56 = 3,249.38 : x
  2. Step 2: Convert to fraction form
    5,488.50/7,572.56 = 3,249.38/x
  3. Step 3: Cross multiply
    5,488.50x = 7,572.56 × 3,249.38
  4. Step 4: Simplify right side
    5,488.50x = 24,606,125.01
  5. Step 5: Solve for x
    x = 24,606,125.01/5,488.50
  6. Step 6: Final answer
    x = 4,483.21

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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.