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Finding the Fourth Proportional to 5,755.68, 8,631.68 and 2,245.46

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Solution

The fourth proportional to 5,755.68, 8,631.68 and 2,245.46 is: 3,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.68 : 8,631.68 = 2,245.46 : x
  2. Step 2: Convert to fraction form
    5,755.68/8,631.68 = 2,245.46/x
  3. Step 3: Cross multiply
    5,755.68x = 8,631.68 × 2,245.46
  4. Step 4: Simplify right side
    5,755.68x = 19,382,037.79
  5. Step 5: Solve for x
    x = 19,382,037.79/5,755.68
  6. Step 6: Final answer
    x = 3,367.46

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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.