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Finding the Fourth Proportional to 3,914.60, 5,876.22 and 3,098.12

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Solution

The fourth proportional to 3,914.60, 5,876.22 and 3,098.12 is: 4,650.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.60 : 5,876.22 = 3,098.12 : x
  2. Step 2: Convert to fraction form
    3,914.60/5,876.22 = 3,098.12/x
  3. Step 3: Cross multiply
    3,914.60x = 5,876.22 × 3,098.12
  4. Step 4: Simplify right side
    3,914.60x = 18,205,234.71
  5. Step 5: Solve for x
    x = 18,205,234.71/3,914.60
  6. Step 6: Final answer
    x = 4,650.60

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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.