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Finding the Fourth Proportional to 3,767.77, 5,634.67 and 2,878.57

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Solution

The fourth proportional to 3,767.77, 5,634.67 and 2,878.57 is: 4,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.77 : 5,634.67 = 2,878.57 : x
  2. Step 2: Convert to fraction form
    3,767.77/5,634.67 = 2,878.57/x
  3. Step 3: Cross multiply
    3,767.77x = 5,634.67 × 2,878.57
  4. Step 4: Simplify right side
    3,767.77x = 16,219,763.85
  5. Step 5: Solve for x
    x = 16,219,763.85/3,767.77
  6. Step 6: Final answer
    x = 4,304.88

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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.