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Finding the Fourth Proportional to 4,191.79, 5,785.17 and 2,514.12

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Solution

The fourth proportional to 4,191.79, 5,785.17 and 2,514.12 is: 3,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.79 : 5,785.17 = 2,514.12 : x
  2. Step 2: Convert to fraction form
    4,191.79/5,785.17 = 2,514.12/x
  3. Step 3: Cross multiply
    4,191.79x = 5,785.17 × 2,514.12
  4. Step 4: Simplify right side
    4,191.79x = 14,544,570.10
  5. Step 5: Solve for x
    x = 14,544,570.10/4,191.79
  6. Step 6: Final answer
    x = 3,469.78

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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.