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Finding the Fourth Proportional to 4,322.31, 5,963.18 and 2,831.06

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Solution

The fourth proportional to 4,322.31, 5,963.18 and 2,831.06 is: 3,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.31 : 5,963.18 = 2,831.06 : x
  2. Step 2: Convert to fraction form
    4,322.31/5,963.18 = 2,831.06/x
  3. Step 3: Cross multiply
    4,322.31x = 5,963.18 × 2,831.06
  4. Step 4: Simplify right side
    4,322.31x = 16,882,076.40
  5. Step 5: Solve for x
    x = 16,882,076.40/4,322.31
  6. Step 6: Final answer
    x = 3,905.80

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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.