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Finding the Fourth Proportional to 6,897.80, 9,519.10 and 3,913.58

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Solution

The fourth proportional to 6,897.80, 9,519.10 and 3,913.58 is: 5,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.80 : 9,519.10 = 3,913.58 : x
  2. Step 2: Convert to fraction form
    6,897.80/9,519.10 = 3,913.58/x
  3. Step 3: Cross multiply
    6,897.80x = 9,519.10 × 3,913.58
  4. Step 4: Simplify right side
    6,897.80x = 37,253,759.38
  5. Step 5: Solve for x
    x = 37,253,759.38/6,897.80
  6. Step 6: Final answer
    x = 5,400.82

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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.