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Finding the Fourth Proportional to 5,897.38, 8,138.19 and 3,244.78

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Solution

The fourth proportional to 5,897.38, 8,138.19 and 3,244.78 is: 4,477.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.38 : 8,138.19 = 3,244.78 : x
  2. Step 2: Convert to fraction form
    5,897.38/8,138.19 = 3,244.78/x
  3. Step 3: Cross multiply
    5,897.38x = 8,138.19 × 3,244.78
  4. Step 4: Simplify right side
    5,897.38x = 26,406,615.80
  5. Step 5: Solve for x
    x = 26,406,615.80/5,897.38
  6. Step 6: Final answer
    x = 4,477.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.