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Finding the Fourth Proportional to 3,340.38, 4,608.09 and 2,709.66

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Solution

The fourth proportional to 3,340.38, 4,608.09 and 2,709.66 is: 3,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.38 : 4,608.09 = 2,709.66 : x
  2. Step 2: Convert to fraction form
    3,340.38/4,608.09 = 2,709.66/x
  3. Step 3: Cross multiply
    3,340.38x = 4,608.09 × 2,709.66
  4. Step 4: Simplify right side
    3,340.38x = 12,486,357.15
  5. Step 5: Solve for x
    x = 12,486,357.15/3,340.38
  6. Step 6: Final answer
    x = 3,738.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.