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Finding the Fourth Proportional to 3,478.68, 5,214.38 and 2,552.85

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Solution

The fourth proportional to 3,478.68, 5,214.38 and 2,552.85 is: 3,826.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.68 : 5,214.38 = 2,552.85 : x
  2. Step 2: Convert to fraction form
    3,478.68/5,214.38 = 2,552.85/x
  3. Step 3: Cross multiply
    3,478.68x = 5,214.38 × 2,552.85
  4. Step 4: Simplify right side
    3,478.68x = 13,311,517.22
  5. Step 5: Solve for x
    x = 13,311,517.22/3,478.68
  6. Step 6: Final answer
    x = 3,826.60

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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.