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Finding the Fourth Proportional to 4,532.82, 6,799.49 and 1,245.84

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Solution

The fourth proportional to 4,532.82, 6,799.49 and 1,245.84 is: 1,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.82 : 6,799.49 = 1,245.84 : x
  2. Step 2: Convert to fraction form
    4,532.82/6,799.49 = 1,245.84/x
  3. Step 3: Cross multiply
    4,532.82x = 6,799.49 × 1,245.84
  4. Step 4: Simplify right side
    4,532.82x = 8,471,070.39
  5. Step 5: Solve for x
    x = 8,471,070.39/4,532.82
  6. Step 6: Final answer
    x = 1,868.83

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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.