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Finding the Fourth Proportional to 5,097.09, 7,034.01 and 2,974.11

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Solution

The fourth proportional to 5,097.09, 7,034.01 and 2,974.11 is: 4,104.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.09 : 7,034.01 = 2,974.11 : x
  2. Step 2: Convert to fraction form
    5,097.09/7,034.01 = 2,974.11/x
  3. Step 3: Cross multiply
    5,097.09x = 7,034.01 × 2,974.11
  4. Step 4: Simplify right side
    5,097.09x = 20,919,919.48
  5. Step 5: Solve for x
    x = 20,919,919.48/5,097.09
  6. Step 6: Final answer
    x = 4,104.29

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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.