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Finding the Fourth Proportional to 6,780.60, 10,175.22 and 2,885

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Solution

The fourth proportional to 6,780.60, 10,175.22 and 2,885 is: 4,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.60 : 10,175.22 = 2,885 : x
  2. Step 2: Convert to fraction form
    6,780.60/10,175.22 = 2,885/x
  3. Step 3: Cross multiply
    6,780.60x = 10,175.22 × 2,885
  4. Step 4: Simplify right side
    6,780.60x = 29,355,509.70
  5. Step 5: Solve for x
    x = 29,355,509.70/6,780.60
  6. Step 6: Final answer
    x = 4,329.34

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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.