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Finding the Fourth Proportional to 4,414, 6,092.42 and 2,552.08

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Solution

The fourth proportional to 4,414, 6,092.42 and 2,552.08 is: 3,522.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414 : 6,092.42 = 2,552.08 : x
  2. Step 2: Convert to fraction form
    4,414/6,092.42 = 2,552.08/x
  3. Step 3: Cross multiply
    4,414x = 6,092.42 × 2,552.08
  4. Step 4: Simplify right side
    4,414x = 15,548,343.23
  5. Step 5: Solve for x
    x = 15,548,343.23/4,414
  6. Step 6: Final answer
    x = 3,522.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.