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Finding the Fourth Proportional to 3,826.62, 5,281.02 and 2,148.17

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Solution

The fourth proportional to 3,826.62, 5,281.02 and 2,148.17 is: 2,964.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.62 : 5,281.02 = 2,148.17 : x
  2. Step 2: Convert to fraction form
    3,826.62/5,281.02 = 2,148.17/x
  3. Step 3: Cross multiply
    3,826.62x = 5,281.02 × 2,148.17
  4. Step 4: Simplify right side
    3,826.62x = 11,344,502.33
  5. Step 5: Solve for x
    x = 11,344,502.33/3,826.62
  6. Step 6: Final answer
    x = 2,964.63

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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.