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Finding the Fourth Proportional to 3,897.98, 5,377.34 and 2,834.10

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Solution

The fourth proportional to 3,897.98, 5,377.34 and 2,834.10 is: 3,909.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.98 : 5,377.34 = 2,834.10 : x
  2. Step 2: Convert to fraction form
    3,897.98/5,377.34 = 2,834.10/x
  3. Step 3: Cross multiply
    3,897.98x = 5,377.34 × 2,834.10
  4. Step 4: Simplify right side
    3,897.98x = 15,239,926.38
  5. Step 5: Solve for x
    x = 15,239,926.38/3,897.98
  6. Step 6: Final answer
    x = 3,909.70

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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.