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Finding the Fourth Proportional to 3,785.92, 5,675.22 and 1,937.90

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Solution

The fourth proportional to 3,785.92, 5,675.22 and 1,937.90 is: 2,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.92 : 5,675.22 = 1,937.90 : x
  2. Step 2: Convert to fraction form
    3,785.92/5,675.22 = 1,937.90/x
  3. Step 3: Cross multiply
    3,785.92x = 5,675.22 × 1,937.90
  4. Step 4: Simplify right side
    3,785.92x = 10,998,023.03
  5. Step 5: Solve for x
    x = 10,998,023.03/3,785.92
  6. Step 6: Final answer
    x = 2,904.98

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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.