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Finding the Fourth Proportional to 3,426.88, 5,140.31 and 829.82

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Solution

The fourth proportional to 3,426.88, 5,140.31 and 829.82 is: 1,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.88 : 5,140.31 = 829.82 : x
  2. Step 2: Convert to fraction form
    3,426.88/5,140.31 = 829.82/x
  3. Step 3: Cross multiply
    3,426.88x = 5,140.31 × 829.82
  4. Step 4: Simplify right side
    3,426.88x = 4,265,508.42
  5. Step 5: Solve for x
    x = 4,265,508.42/3,426.88
  6. Step 6: Final answer
    x = 1,244.72

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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.