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Finding the Fourth Proportional to 5,006.38, 6,909.07 and 2,882.23

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Solution

The fourth proportional to 5,006.38, 6,909.07 and 2,882.23 is: 3,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.38 : 6,909.07 = 2,882.23 : x
  2. Step 2: Convert to fraction form
    5,006.38/6,909.07 = 2,882.23/x
  3. Step 3: Cross multiply
    5,006.38x = 6,909.07 × 2,882.23
  4. Step 4: Simplify right side
    5,006.38x = 19,913,514.41
  5. Step 5: Solve for x
    x = 19,913,514.41/5,006.38
  6. Step 6: Final answer
    x = 3,977.63

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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.