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Finding the Fourth Proportional to 3,838.96, 5,718.82 and 3,722.81

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Solution

The fourth proportional to 3,838.96, 5,718.82 and 3,722.81 is: 5,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.96 : 5,718.82 = 3,722.81 : x
  2. Step 2: Convert to fraction form
    3,838.96/5,718.82 = 3,722.81/x
  3. Step 3: Cross multiply
    3,838.96x = 5,718.82 × 3,722.81
  4. Step 4: Simplify right side
    3,838.96x = 21,290,063.32
  5. Step 5: Solve for x
    x = 21,290,063.32/3,838.96
  6. Step 6: Final answer
    x = 5,545.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.