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Finding the Fourth Proportional to 3,497.96, 4,826.31 and 2,081.27

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Solution

The fourth proportional to 3,497.96, 4,826.31 and 2,081.27 is: 2,871.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.96 : 4,826.31 = 2,081.27 : x
  2. Step 2: Convert to fraction form
    3,497.96/4,826.31 = 2,081.27/x
  3. Step 3: Cross multiply
    3,497.96x = 4,826.31 × 2,081.27
  4. Step 4: Simplify right side
    3,497.96x = 10,044,854.21
  5. Step 5: Solve for x
    x = 10,044,854.21/3,497.96
  6. Step 6: Final answer
    x = 2,871.63

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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.