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Finding the Fourth Proportional to 4,142.89, 5,717.19 and 2,279.89

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Solution

The fourth proportional to 4,142.89, 5,717.19 and 2,279.89 is: 3,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.89 : 5,717.19 = 2,279.89 : x
  2. Step 2: Convert to fraction form
    4,142.89/5,717.19 = 2,279.89/x
  3. Step 3: Cross multiply
    4,142.89x = 5,717.19 × 2,279.89
  4. Step 4: Simplify right side
    4,142.89x = 13,034,578.60
  5. Step 5: Solve for x
    x = 13,034,578.60/4,142.89
  6. Step 6: Final answer
    x = 3,146.25

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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.