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Finding the Fourth Proportional to 3,272.25, 4,887.51 and 2,834.85

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Solution

The fourth proportional to 3,272.25, 4,887.51 and 2,834.85 is: 4,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.25 : 4,887.51 = 2,834.85 : x
  2. Step 2: Convert to fraction form
    3,272.25/4,887.51 = 2,834.85/x
  3. Step 3: Cross multiply
    3,272.25x = 4,887.51 × 2,834.85
  4. Step 4: Simplify right side
    3,272.25x = 13,855,357.72
  5. Step 5: Solve for x
    x = 13,855,357.72/3,272.25
  6. Step 6: Final answer
    x = 4,234.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.