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Finding the Fourth Proportional to 3,282.56, 4,528.64 and 3,267.92

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Solution

The fourth proportional to 3,282.56, 4,528.64 and 3,267.92 is: 4,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.56 : 4,528.64 = 3,267.92 : x
  2. Step 2: Convert to fraction form
    3,282.56/4,528.64 = 3,267.92/x
  3. Step 3: Cross multiply
    3,282.56x = 4,528.64 × 3,267.92
  4. Step 4: Simplify right side
    3,282.56x = 14,799,233.23
  5. Step 5: Solve for x
    x = 14,799,233.23/3,282.56
  6. Step 6: Final answer
    x = 4,508.44

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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.