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Finding the Fourth Proportional to 3,454.35, 5,179.50 and 1,478.55

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Solution

The fourth proportional to 3,454.35, 5,179.50 and 1,478.55 is: 2,216.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.35 : 5,179.50 = 1,478.55 : x
  2. Step 2: Convert to fraction form
    3,454.35/5,179.50 = 1,478.55/x
  3. Step 3: Cross multiply
    3,454.35x = 5,179.50 × 1,478.55
  4. Step 4: Simplify right side
    3,454.35x = 7,658,149.73
  5. Step 5: Solve for x
    x = 7,658,149.73/3,454.35
  6. Step 6: Final answer
    x = 2,216.96

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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.