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Finding the Fourth Proportional to 3,166.80, 4,340.46 and 3,145.20

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Solution

The fourth proportional to 3,166.80, 4,340.46 and 3,145.20 is: 4,310.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.80 : 4,340.46 = 3,145.20 : x
  2. Step 2: Convert to fraction form
    3,166.80/4,340.46 = 3,145.20/x
  3. Step 3: Cross multiply
    3,166.80x = 4,340.46 × 3,145.20
  4. Step 4: Simplify right side
    3,166.80x = 13,651,614.79
  5. Step 5: Solve for x
    x = 13,651,614.79/3,166.80
  6. Step 6: Final answer
    x = 4,310.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.