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Finding the Fourth Proportional to 4,315.28, 6,472.22 and 1,541.48

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Solution

The fourth proportional to 4,315.28, 6,472.22 and 1,541.48 is: 2,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.28 : 6,472.22 = 1,541.48 : x
  2. Step 2: Convert to fraction form
    4,315.28/6,472.22 = 1,541.48/x
  3. Step 3: Cross multiply
    4,315.28x = 6,472.22 × 1,541.48
  4. Step 4: Simplify right side
    4,315.28x = 9,976,757.62
  5. Step 5: Solve for x
    x = 9,976,757.62/4,315.28
  6. Step 6: Final answer
    x = 2,311.96

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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.