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Finding the Fourth Proportional to 4,197.70, 6,296.55 and 2,250.82

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Solution

The fourth proportional to 4,197.70, 6,296.55 and 2,250.82 is: 3,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.70 : 6,296.55 = 2,250.82 : x
  2. Step 2: Convert to fraction form
    4,197.70/6,296.55 = 2,250.82/x
  3. Step 3: Cross multiply
    4,197.70x = 6,296.55 × 2,250.82
  4. Step 4: Simplify right side
    4,197.70x = 14,172,400.67
  5. Step 5: Solve for x
    x = 14,172,400.67/4,197.70
  6. Step 6: Final answer
    x = 3,376.23

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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.