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Finding the Fourth Proportional to 5,721.24, 8,596.24 and 3,642.17

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Solution

The fourth proportional to 5,721.24, 8,596.24 and 3,642.17 is: 5,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,721.24 : 8,596.24 = 3,642.17 : x
  2. Step 2: Convert to fraction form
    5,721.24/8,596.24 = 3,642.17/x
  3. Step 3: Cross multiply
    5,721.24x = 8,596.24 × 3,642.17
  4. Step 4: Simplify right side
    5,721.24x = 31,308,979.83
  5. Step 5: Solve for x
    x = 31,308,979.83/5,721.24
  6. Step 6: Final answer
    x = 5,472.41

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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.