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Finding the Fourth Proportional to 4,195.96, 5,780.41 and 2,934.65

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Solution

The fourth proportional to 4,195.96, 5,780.41 and 2,934.65 is: 4,042.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.96 : 5,780.41 = 2,934.65 : x
  2. Step 2: Convert to fraction form
    4,195.96/5,780.41 = 2,934.65/x
  3. Step 3: Cross multiply
    4,195.96x = 5,780.41 × 2,934.65
  4. Step 4: Simplify right side
    4,195.96x = 16,963,480.21
  5. Step 5: Solve for x
    x = 16,963,480.21/4,195.96
  6. Step 6: Final answer
    x = 4,042.81

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