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Finding the Fourth Proportional to 3,900.27, 5,850.99 and 1,434.90

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Solution

The fourth proportional to 3,900.27, 5,850.99 and 1,434.90 is: 2,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.27 : 5,850.99 = 1,434.90 : x
  2. Step 2: Convert to fraction form
    3,900.27/5,850.99 = 1,434.90/x
  3. Step 3: Cross multiply
    3,900.27x = 5,850.99 × 1,434.90
  4. Step 4: Simplify right side
    3,900.27x = 8,395,585.55
  5. Step 5: Solve for x
    x = 8,395,585.55/3,900.27
  6. Step 6: Final answer
    x = 2,152.57

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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.