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Finding the Fourth Proportional to 5,006.65, 6,909.24 and 2,882.38

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Solution

The fourth proportional to 5,006.65, 6,909.24 and 2,882.38 is: 3,977.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.65 : 6,909.24 = 2,882.38 : x
  2. Step 2: Convert to fraction form
    5,006.65/6,909.24 = 2,882.38/x
  3. Step 3: Cross multiply
    5,006.65x = 6,909.24 × 2,882.38
  4. Step 4: Simplify right side
    5,006.65x = 19,915,055.19
  5. Step 5: Solve for x
    x = 19,915,055.19/5,006.65
  6. Step 6: Final answer
    x = 3,977.72

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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.