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Finding the Fourth Proportional to 4,065.82, 5,610.87 and 2,202.82

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Solution

The fourth proportional to 4,065.82, 5,610.87 and 2,202.82 is: 3,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.82 : 5,610.87 = 2,202.82 : x
  2. Step 2: Convert to fraction form
    4,065.82/5,610.87 = 2,202.82/x
  3. Step 3: Cross multiply
    4,065.82x = 5,610.87 × 2,202.82
  4. Step 4: Simplify right side
    4,065.82x = 12,359,736.65
  5. Step 5: Solve for x
    x = 12,359,736.65/4,065.82
  6. Step 6: Final answer
    x = 3,039.91

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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.