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Finding the Fourth Proportional to 3,474.57, 5,214.76 and 3,255.62

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Solution

The fourth proportional to 3,474.57, 5,214.76 and 3,255.62 is: 4,886.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.57 : 5,214.76 = 3,255.62 : x
  2. Step 2: Convert to fraction form
    3,474.57/5,214.76 = 3,255.62/x
  3. Step 3: Cross multiply
    3,474.57x = 5,214.76 × 3,255.62
  4. Step 4: Simplify right side
    3,474.57x = 16,977,276.95
  5. Step 5: Solve for x
    x = 16,977,276.95/3,474.57
  6. Step 6: Final answer
    x = 4,886.15

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Why These Related Problems?

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