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Finding the Fourth Proportional to 3,932.91, 5,899.37 and 3,735.83

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Solution

The fourth proportional to 3,932.91, 5,899.37 and 3,735.83 is: 5,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.91 : 5,899.37 = 3,735.83 : x
  2. Step 2: Convert to fraction form
    3,932.91/5,899.37 = 3,735.83/x
  3. Step 3: Cross multiply
    3,932.91x = 5,899.37 × 3,735.83
  4. Step 4: Simplify right side
    3,932.91x = 22,039,039.50
  5. Step 5: Solve for x
    x = 22,039,039.50/3,932.91
  6. Step 6: Final answer
    x = 5,603.75

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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.