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Finding the Fourth Proportional to 4,227.16, 5,827.26 and 3,439.84

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Solution

The fourth proportional to 4,227.16, 5,827.26 and 3,439.84 is: 4,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.16 : 5,827.26 = 3,439.84 : x
  2. Step 2: Convert to fraction form
    4,227.16/5,827.26 = 3,439.84/x
  3. Step 3: Cross multiply
    4,227.16x = 5,827.26 × 3,439.84
  4. Step 4: Simplify right side
    4,227.16x = 20,044,842.04
  5. Step 5: Solve for x
    x = 20,044,842.04/4,227.16
  6. Step 6: Final answer
    x = 4,741.92

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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.