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Finding the Fourth Proportional to 5,304.38, 7,954.38 and 2,302.61

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Solution

The fourth proportional to 5,304.38, 7,954.38 and 2,302.61 is: 3,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.38 : 7,954.38 = 2,302.61 : x
  2. Step 2: Convert to fraction form
    5,304.38/7,954.38 = 2,302.61/x
  3. Step 3: Cross multiply
    5,304.38x = 7,954.38 × 2,302.61
  4. Step 4: Simplify right side
    5,304.38x = 18,315,834.93
  5. Step 5: Solve for x
    x = 18,315,834.93/5,304.38
  6. Step 6: Final answer
    x = 3,452.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.