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Finding the Fourth Proportional to 3,228.72, 4,453.12 and 2,166.14

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Solution

The fourth proportional to 3,228.72, 4,453.12 and 2,166.14 is: 2,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.72 : 4,453.12 = 2,166.14 : x
  2. Step 2: Convert to fraction form
    3,228.72/4,453.12 = 2,166.14/x
  3. Step 3: Cross multiply
    3,228.72x = 4,453.12 × 2,166.14
  4. Step 4: Simplify right side
    3,228.72x = 9,646,081.36
  5. Step 5: Solve for x
    x = 9,646,081.36/3,228.72
  6. Step 6: Final answer
    x = 2,987.59

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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.