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Finding the Fourth Proportional to 3,431.80, 5,147.66 and 834.76

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Solution

The fourth proportional to 3,431.80, 5,147.66 and 834.76 is: 1,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.80 : 5,147.66 = 834.76 : x
  2. Step 2: Convert to fraction form
    3,431.80/5,147.66 = 834.76/x
  3. Step 3: Cross multiply
    3,431.80x = 5,147.66 × 834.76
  4. Step 4: Simplify right side
    3,431.80x = 4,297,060.66
  5. Step 5: Solve for x
    x = 4,297,060.66/3,431.80
  6. Step 6: Final answer
    x = 1,252.13

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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.