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Finding the Fourth Proportional to 2,974.97, 4,097.10 and 2,910.38

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Solution

The fourth proportional to 2,974.97, 4,097.10 and 2,910.38 is: 4,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.97 : 4,097.10 = 2,910.38 : x
  2. Step 2: Convert to fraction form
    2,974.97/4,097.10 = 2,910.38/x
  3. Step 3: Cross multiply
    2,974.97x = 4,097.10 × 2,910.38
  4. Step 4: Simplify right side
    2,974.97x = 11,924,117.90
  5. Step 5: Solve for x
    x = 11,924,117.90/2,974.97
  6. Step 6: Final answer
    x = 4,008.15

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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.