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Finding the Fourth Proportional to 5,034.87, 6,948.56 and 2,797.20

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Solution

The fourth proportional to 5,034.87, 6,948.56 and 2,797.20 is: 3,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.87 : 6,948.56 = 2,797.20 : x
  2. Step 2: Convert to fraction form
    5,034.87/6,948.56 = 2,797.20/x
  3. Step 3: Cross multiply
    5,034.87x = 6,948.56 × 2,797.20
  4. Step 4: Simplify right side
    5,034.87x = 19,436,519.03
  5. Step 5: Solve for x
    x = 19,436,519.03/5,034.87
  6. Step 6: Final answer
    x = 3,860.38

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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.