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Finding the Fourth Proportional to 4,169.17, 5,753.39 and 2,306.17

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Solution

The fourth proportional to 4,169.17, 5,753.39 and 2,306.17 is: 3,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.17 : 5,753.39 = 2,306.17 : x
  2. Step 2: Convert to fraction form
    4,169.17/5,753.39 = 2,306.17/x
  3. Step 3: Cross multiply
    4,169.17x = 5,753.39 × 2,306.17
  4. Step 4: Simplify right side
    4,169.17x = 13,268,283.89
  5. Step 5: Solve for x
    x = 13,268,283.89/4,169.17
  6. Step 6: Final answer
    x = 3,182.48

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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.