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Finding the Fourth Proportional to 3,136.67, 4,701.32 and 1,286.87

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Solution

The fourth proportional to 3,136.67, 4,701.32 and 1,286.87 is: 1,928.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.67 : 4,701.32 = 1,286.87 : x
  2. Step 2: Convert to fraction form
    3,136.67/4,701.32 = 1,286.87/x
  3. Step 3: Cross multiply
    3,136.67x = 4,701.32 × 1,286.87
  4. Step 4: Simplify right side
    3,136.67x = 6,049,981.23
  5. Step 5: Solve for x
    x = 6,049,981.23/3,136.67
  6. Step 6: Final answer
    x = 1,928.79

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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.