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Finding the Fourth Proportional to 3,785.58, 5,674.71 and 2,550.24

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Solution

The fourth proportional to 3,785.58, 5,674.71 and 2,550.24 is: 3,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.58 : 5,674.71 = 2,550.24 : x
  2. Step 2: Convert to fraction form
    3,785.58/5,674.71 = 2,550.24/x
  3. Step 3: Cross multiply
    3,785.58x = 5,674.71 × 2,550.24
  4. Step 4: Simplify right side
    3,785.58x = 14,471,872.43
  5. Step 5: Solve for x
    x = 14,471,872.43/3,785.58
  6. Step 6: Final answer
    x = 3,822.89

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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.