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Finding the Fourth Proportional to 4,315.53, 6,471.15 and 2,234.97

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Solution

The fourth proportional to 4,315.53, 6,471.15 and 2,234.97 is: 3,351.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,315.53 : 6,471.15 = 2,234.97 : x
  2. Step 2: Convert to fraction form
    4,315.53/6,471.15 = 2,234.97/x
  3. Step 3: Cross multiply
    4,315.53x = 6,471.15 × 2,234.97
  4. Step 4: Simplify right side
    4,315.53x = 14,462,826.12
  5. Step 5: Solve for x
    x = 14,462,826.12/4,315.53
  6. Step 6: Final answer
    x = 3,351.34

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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.