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Finding the Fourth Proportional to 3,146.69, 4,713.87 and 2,876.04

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Solution

The fourth proportional to 3,146.69, 4,713.87 and 2,876.04 is: 4,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.69 : 4,713.87 = 2,876.04 : x
  2. Step 2: Convert to fraction form
    3,146.69/4,713.87 = 2,876.04/x
  3. Step 3: Cross multiply
    3,146.69x = 4,713.87 × 2,876.04
  4. Step 4: Simplify right side
    3,146.69x = 13,557,278.67
  5. Step 5: Solve for x
    x = 13,557,278.67/3,146.69
  6. Step 6: Final answer
    x = 4,308.43

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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.