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Finding the Fourth Proportional to 3,775.97, 5,658.78 and 2,850.77

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Solution

The fourth proportional to 3,775.97, 5,658.78 and 2,850.77 is: 4,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.97 : 5,658.78 = 2,850.77 : x
  2. Step 2: Convert to fraction form
    3,775.97/5,658.78 = 2,850.77/x
  3. Step 3: Cross multiply
    3,775.97x = 5,658.78 × 2,850.77
  4. Step 4: Simplify right side
    3,775.97x = 16,131,905.10
  5. Step 5: Solve for x
    x = 16,131,905.10/3,775.97
  6. Step 6: Final answer
    x = 4,272.25

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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.