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Finding the Fourth Proportional to 5,715.60, 8,578.23 and 2,255.28

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Solution

The fourth proportional to 5,715.60, 8,578.23 and 2,255.28 is: 3,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.60 : 8,578.23 = 2,255.28 : x
  2. Step 2: Convert to fraction form
    5,715.60/8,578.23 = 2,255.28/x
  3. Step 3: Cross multiply
    5,715.60x = 8,578.23 × 2,255.28
  4. Step 4: Simplify right side
    5,715.60x = 19,346,310.55
  5. Step 5: Solve for x
    x = 19,346,310.55/5,715.60
  6. Step 6: Final answer
    x = 3,384.83

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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.