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Finding the Fourth Proportional to 3,891.27, 5,831.90 and 1,423.15

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Solution

The fourth proportional to 3,891.27, 5,831.90 and 1,423.15 is: 2,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.27 : 5,831.90 = 1,423.15 : x
  2. Step 2: Convert to fraction form
    3,891.27/5,831.90 = 1,423.15/x
  3. Step 3: Cross multiply
    3,891.27x = 5,831.90 × 1,423.15
  4. Step 4: Simplify right side
    3,891.27x = 8,299,684.93
  5. Step 5: Solve for x
    x = 8,299,684.93/3,891.27
  6. Step 6: Final answer
    x = 2,132.90

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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.