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Finding the Fourth Proportional to 4,243.32, 6,368 and 3,144.36

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Solution

The fourth proportional to 4,243.32, 6,368 and 3,144.36 is: 4,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.32 : 6,368 = 3,144.36 : x
  2. Step 2: Convert to fraction form
    4,243.32/6,368 = 3,144.36/x
  3. Step 3: Cross multiply
    4,243.32x = 6,368 × 3,144.36
  4. Step 4: Simplify right side
    4,243.32x = 20,023,284.48
  5. Step 5: Solve for x
    x = 20,023,284.48/4,243.32
  6. Step 6: Final answer
    x = 4,718.78

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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.