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Finding the Fourth Proportional to 3,831.96, 5,287.71 and 2,340.24

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Solution

The fourth proportional to 3,831.96, 5,287.71 and 2,340.24 is: 3,229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.96 : 5,287.71 = 2,340.24 : x
  2. Step 2: Convert to fraction form
    3,831.96/5,287.71 = 2,340.24/x
  3. Step 3: Cross multiply
    3,831.96x = 5,287.71 × 2,340.24
  4. Step 4: Simplify right side
    3,831.96x = 12,374,510.45
  5. Step 5: Solve for x
    x = 12,374,510.45/3,831.96
  6. Step 6: Final answer
    x = 3,229.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.