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Finding the Fourth Proportional to 5,721.32, 7,896.12 and 3,363.68

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Solution

The fourth proportional to 5,721.32, 7,896.12 and 3,363.68 is: 4,642.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.32 : 7,896.12 = 3,363.68 : x
  2. Step 2: Convert to fraction form
    5,721.32/7,896.12 = 3,363.68/x
  3. Step 3: Cross multiply
    5,721.32x = 7,896.12 × 3,363.68
  4. Step 4: Simplify right side
    5,721.32x = 26,560,020.92
  5. Step 5: Solve for x
    x = 26,560,020.92/5,721.32
  6. Step 6: Final answer
    x = 4,642.29

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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.