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Finding the Fourth Proportional to 3,831.51, 5,287.87 and 2,340.30

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Solution

The fourth proportional to 3,831.51, 5,287.87 and 2,340.30 is: 3,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.51 : 5,287.87 = 2,340.30 : x
  2. Step 2: Convert to fraction form
    3,831.51/5,287.87 = 2,340.30/x
  3. Step 3: Cross multiply
    3,831.51x = 5,287.87 × 2,340.30
  4. Step 4: Simplify right side
    3,831.51x = 12,375,202.16
  5. Step 5: Solve for x
    x = 12,375,202.16/3,831.51
  6. Step 6: Final answer
    x = 3,229.85

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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.