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Finding the Fourth Proportional to 3,926.34, 5,887.08 and 2,049.57

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Solution

The fourth proportional to 3,926.34, 5,887.08 and 2,049.57 is: 3,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.34 : 5,887.08 = 2,049.57 : x
  2. Step 2: Convert to fraction form
    3,926.34/5,887.08 = 2,049.57/x
  3. Step 3: Cross multiply
    3,926.34x = 5,887.08 × 2,049.57
  4. Step 4: Simplify right side
    3,926.34x = 12,065,982.56
  5. Step 5: Solve for x
    x = 12,065,982.56/3,926.34
  6. Step 6: Final answer
    x = 3,073.09

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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.