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Finding the Fourth Proportional to 4,065.75, 5,610.75 and 2,202.75

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Solution

The fourth proportional to 4,065.75, 5,610.75 and 2,202.75 is: 3,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.75 : 5,610.75 = 2,202.75 : x
  2. Step 2: Convert to fraction form
    4,065.75/5,610.75 = 2,202.75/x
  3. Step 3: Cross multiply
    4,065.75x = 5,610.75 × 2,202.75
  4. Step 4: Simplify right side
    4,065.75x = 12,359,079.56
  5. Step 5: Solve for x
    x = 12,359,079.56/4,065.75
  6. Step 6: Final answer
    x = 3,039.80

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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.