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Finding the Fourth Proportional to 4,232.32, 6,340.11 and 3,913.31

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Solution

The fourth proportional to 4,232.32, 6,340.11 and 3,913.31 is: 5,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.32 : 6,340.11 = 3,913.31 : x
  2. Step 2: Convert to fraction form
    4,232.32/6,340.11 = 3,913.31/x
  3. Step 3: Cross multiply
    4,232.32x = 6,340.11 × 3,913.31
  4. Step 4: Simplify right side
    4,232.32x = 24,810,817.04
  5. Step 5: Solve for x
    x = 24,810,817.04/4,232.32
  6. Step 6: Final answer
    x = 5,862.23

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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.