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Finding the Fourth Proportional to 4,694.88, 7,042.29 and 3,813.19

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Solution

The fourth proportional to 4,694.88, 7,042.29 and 3,813.19 is: 5,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.88 : 7,042.29 = 3,813.19 : x
  2. Step 2: Convert to fraction form
    4,694.88/7,042.29 = 3,813.19/x
  3. Step 3: Cross multiply
    4,694.88x = 7,042.29 × 3,813.19
  4. Step 4: Simplify right side
    4,694.88x = 26,853,589.81
  5. Step 5: Solve for x
    x = 26,853,589.81/4,694.88
  6. Step 6: Final answer
    x = 5,719.76

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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.