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Finding the Fourth Proportional to 5,834.84, 8,049.78 and 3,282.00

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Solution

The fourth proportional to 5,834.84, 8,049.78 and 3,282.00 is: 4,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.84 : 8,049.78 = 3,282.00 : x
  2. Step 2: Convert to fraction form
    5,834.84/8,049.78 = 3,282.00/x
  3. Step 3: Cross multiply
    5,834.84x = 8,049.78 × 3,282.00
  4. Step 4: Simplify right side
    5,834.84x = 26,419,347.77
  5. Step 5: Solve for x
    x = 26,419,347.77/5,834.84
  6. Step 6: Final answer
    x = 4,527.87

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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.