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Finding the Fourth Proportional to 3,454.17, 5,177.23 and 1,974.43

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Solution

The fourth proportional to 3,454.17, 5,177.23 and 1,974.43 is: 2,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.17 : 5,177.23 = 1,974.43 : x
  2. Step 2: Convert to fraction form
    3,454.17/5,177.23 = 1,974.43/x
  3. Step 3: Cross multiply
    3,454.17x = 5,177.23 × 1,974.43
  4. Step 4: Simplify right side
    3,454.17x = 10,222,079.76
  5. Step 5: Solve for x
    x = 10,222,079.76/3,454.17
  6. Step 6: Final answer
    x = 2,959.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.