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Finding the Fourth Proportional to 3,815, 5,266.81 and 2,562.71

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Solution

The fourth proportional to 3,815, 5,266.81 and 2,562.71 is: 3,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815 : 5,266.81 = 2,562.71 : x
  2. Step 2: Convert to fraction form
    3,815/5,266.81 = 2,562.71/x
  3. Step 3: Cross multiply
    3,815x = 5,266.81 × 2,562.71
  4. Step 4: Simplify right side
    3,815x = 13,497,306.66
  5. Step 5: Solve for x
    x = 13,497,306.66/3,815
  6. Step 6: Final answer
    x = 3,537.96

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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.