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Finding the Fourth Proportional to 5,715.20, 8,572.22 and 3,878.12

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Solution

The fourth proportional to 5,715.20, 8,572.22 and 3,878.12 is: 5,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.20 : 8,572.22 = 3,878.12 : x
  2. Step 2: Convert to fraction form
    5,715.20/8,572.22 = 3,878.12/x
  3. Step 3: Cross multiply
    5,715.20x = 8,572.22 × 3,878.12
  4. Step 4: Simplify right side
    5,715.20x = 33,244,097.83
  5. Step 5: Solve for x
    x = 33,244,097.83/5,715.20
  6. Step 6: Final answer
    x = 5,816.79

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