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Finding the Fourth Proportional to 3,431.71, 5,147.57 and 834.63

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Solution

The fourth proportional to 3,431.71, 5,147.57 and 834.63 is: 1,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.71 : 5,147.57 = 834.63 : x
  2. Step 2: Convert to fraction form
    3,431.71/5,147.57 = 834.63/x
  3. Step 3: Cross multiply
    3,431.71x = 5,147.57 × 834.63
  4. Step 4: Simplify right side
    3,431.71x = 4,296,312.18
  5. Step 5: Solve for x
    x = 4,296,312.18/3,431.71
  6. Step 6: Final answer
    x = 1,251.95

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Why These Related Problems?

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