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Finding the Fourth Proportional to 4,525.28, 6,788 and 3,286.68

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Solution

The fourth proportional to 4,525.28, 6,788 and 3,286.68 is: 4,930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,525.28 : 6,788 = 3,286.68 : x
  2. Step 2: Convert to fraction form
    4,525.28/6,788 = 3,286.68/x
  3. Step 3: Cross multiply
    4,525.28x = 6,788 × 3,286.68
  4. Step 4: Simplify right side
    4,525.28x = 22,309,983.84
  5. Step 5: Solve for x
    x = 22,309,983.84/4,525.28
  6. Step 6: Final answer
    x = 4,930.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.