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Finding the Fourth Proportional to 3,414.34, 5,121.51 and 1,952.47

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Solution

The fourth proportional to 3,414.34, 5,121.51 and 1,952.47 is: 2,928.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.34 : 5,121.51 = 1,952.47 : x
  2. Step 2: Convert to fraction form
    3,414.34/5,121.51 = 1,952.47/x
  3. Step 3: Cross multiply
    3,414.34x = 5,121.51 × 1,952.47
  4. Step 4: Simplify right side
    3,414.34x = 9,999,585.83
  5. Step 5: Solve for x
    x = 9,999,585.83/3,414.34
  6. Step 6: Final answer
    x = 2,928.70

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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.