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Finding the Fourth Proportional to 3,399.59, 5,099.87 and 1,207.80

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Solution

The fourth proportional to 3,399.59, 5,099.87 and 1,207.80 is: 1,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.59 : 5,099.87 = 1,207.80 : x
  2. Step 2: Convert to fraction form
    3,399.59/5,099.87 = 1,207.80/x
  3. Step 3: Cross multiply
    3,399.59x = 5,099.87 × 1,207.80
  4. Step 4: Simplify right side
    3,399.59x = 6,159,626.01
  5. Step 5: Solve for x
    x = 6,159,626.01/3,399.59
  6. Step 6: Final answer
    x = 1,811.87

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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.