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Finding the Fourth Proportional to 3,398.98, 5,099.24 and 1,207.70

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Solution

The fourth proportional to 3,398.98, 5,099.24 and 1,207.70 is: 1,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.98 : 5,099.24 = 1,207.70 : x
  2. Step 2: Convert to fraction form
    3,398.98/5,099.24 = 1,207.70/x
  3. Step 3: Cross multiply
    3,398.98x = 5,099.24 × 1,207.70
  4. Step 4: Simplify right side
    3,398.98x = 6,158,367.92
  5. Step 5: Solve for x
    x = 6,158,367.92/3,398.98
  6. Step 6: Final answer
    x = 1,811.83

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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.