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Finding the Fourth Proportional to 3,838.67, 5,728.06 and 3,424.96

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Solution

The fourth proportional to 3,838.67, 5,728.06 and 3,424.96 is: 5,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.67 : 5,728.06 = 3,424.96 : x
  2. Step 2: Convert to fraction form
    3,838.67/5,728.06 = 3,424.96/x
  3. Step 3: Cross multiply
    3,838.67x = 5,728.06 × 3,424.96
  4. Step 4: Simplify right side
    3,838.67x = 19,618,376.38
  5. Step 5: Solve for x
    x = 19,618,376.38/3,838.67
  6. Step 6: Final answer
    x = 5,110.72

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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.