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Finding the Fourth Proportional to 4,215.91, 5,817.92 and 2,327.49

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Solution

The fourth proportional to 4,215.91, 5,817.92 and 2,327.49 is: 3,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.91 : 5,817.92 = 2,327.49 : x
  2. Step 2: Convert to fraction form
    4,215.91/5,817.92 = 2,327.49/x
  3. Step 3: Cross multiply
    4,215.91x = 5,817.92 × 2,327.49
  4. Step 4: Simplify right side
    4,215.91x = 13,541,120.08
  5. Step 5: Solve for x
    x = 13,541,120.08/4,215.91
  6. Step 6: Final answer
    x = 3,211.91

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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.