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Finding the Fourth Proportional to 5,047.55, 7,567.17 and 4,387.87

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Solution

The fourth proportional to 5,047.55, 7,567.17 and 4,387.87 is: 6,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.55 : 7,567.17 = 4,387.87 : x
  2. Step 2: Convert to fraction form
    5,047.55/7,567.17 = 4,387.87/x
  3. Step 3: Cross multiply
    5,047.55x = 7,567.17 × 4,387.87
  4. Step 4: Simplify right side
    5,047.55x = 33,203,775.91
  5. Step 5: Solve for x
    x = 33,203,775.91/5,047.55
  6. Step 6: Final answer
    x = 6,578.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.