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Finding the Fourth Proportional to 5,006.47, 6,909.19 and 2,882.32

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Solution

The fourth proportional to 5,006.47, 6,909.19 and 2,882.32 is: 3,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.47 : 6,909.19 = 2,882.32 : x
  2. Step 2: Convert to fraction form
    5,006.47/6,909.19 = 2,882.32/x
  3. Step 3: Cross multiply
    5,006.47x = 6,909.19 × 2,882.32
  4. Step 4: Simplify right side
    5,006.47x = 19,914,496.52
  5. Step 5: Solve for x
    x = 19,914,496.52/5,006.47
  6. Step 6: Final answer
    x = 3,977.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.