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Finding the Fourth Proportional to 3,399.86, 5,099.65 and 934.61

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Solution

The fourth proportional to 3,399.86, 5,099.65 and 934.61 is: 1,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.86 : 5,099.65 = 934.61 : x
  2. Step 2: Convert to fraction form
    3,399.86/5,099.65 = 934.61/x
  3. Step 3: Cross multiply
    3,399.86x = 5,099.65 × 934.61
  4. Step 4: Simplify right side
    3,399.86x = 4,766,178.68
  5. Step 5: Solve for x
    x = 4,766,178.68/3,399.86
  6. Step 6: Final answer
    x = 1,401.88

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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.