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Finding the Fourth Proportional to 3,414.95, 5,126.98 and 3,304.23

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Solution

The fourth proportional to 3,414.95, 5,126.98 and 3,304.23 is: 4,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.95 : 5,126.98 = 3,304.23 : x
  2. Step 2: Convert to fraction form
    3,414.95/5,126.98 = 3,304.23/x
  3. Step 3: Cross multiply
    3,414.95x = 5,126.98 × 3,304.23
  4. Step 4: Simplify right side
    3,414.95x = 16,940,721.13
  5. Step 5: Solve for x
    x = 16,940,721.13/3,414.95
  6. Step 6: Final answer
    x = 4,960.75

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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.