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Finding the Fourth Proportional to 3,751.26, 5,178.51 and 2,178.78

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Solution

The fourth proportional to 3,751.26, 5,178.51 and 2,178.78 is: 3,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.26 : 5,178.51 = 2,178.78 : x
  2. Step 2: Convert to fraction form
    3,751.26/5,178.51 = 2,178.78/x
  3. Step 3: Cross multiply
    3,751.26x = 5,178.51 × 2,178.78
  4. Step 4: Simplify right side
    3,751.26x = 11,282,834.02
  5. Step 5: Solve for x
    x = 11,282,834.02/3,751.26
  6. Step 6: Final answer
    x = 3,007.75

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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.