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Finding the Fourth Proportional to 4,493.60, 6,737.88 and 3,451

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Solution

The fourth proportional to 4,493.60, 6,737.88 and 3,451 is: 5,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.60 : 6,737.88 = 3,451 : x
  2. Step 2: Convert to fraction form
    4,493.60/6,737.88 = 3,451/x
  3. Step 3: Cross multiply
    4,493.60x = 6,737.88 × 3,451
  4. Step 4: Simplify right side
    4,493.60x = 23,252,423.88
  5. Step 5: Solve for x
    x = 23,252,423.88/4,493.60
  6. Step 6: Final answer
    x = 5,174.56

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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.