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Finding the Fourth Proportional to 5,006.53, 6,909.06 and 2,882.51

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Solution

The fourth proportional to 5,006.53, 6,909.06 and 2,882.51 is: 3,977.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.53 : 6,909.06 = 2,882.51 : x
  2. Step 2: Convert to fraction form
    5,006.53/6,909.06 = 2,882.51/x
  3. Step 3: Cross multiply
    5,006.53x = 6,909.06 × 2,882.51
  4. Step 4: Simplify right side
    5,006.53x = 19,915,434.54
  5. Step 5: Solve for x
    x = 19,915,434.54/5,006.53
  6. Step 6: Final answer
    x = 3,977.89

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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.