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Finding the Fourth Proportional to 5,232.96, 7,221.22 and 2,874.65

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Solution

The fourth proportional to 5,232.96, 7,221.22 and 2,874.65 is: 3,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.96 : 7,221.22 = 2,874.65 : x
  2. Step 2: Convert to fraction form
    5,232.96/7,221.22 = 2,874.65/x
  3. Step 3: Cross multiply
    5,232.96x = 7,221.22 × 2,874.65
  4. Step 4: Simplify right side
    5,232.96x = 20,758,436.78
  5. Step 5: Solve for x
    x = 20,758,436.78/5,232.96
  6. Step 6: Final answer
    x = 3,966.86

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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.