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Finding the Fourth Proportional to 3,793.83, 5,682.65 and 3,537.51

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Solution

The fourth proportional to 3,793.83, 5,682.65 and 3,537.51 is: 5,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.83 : 5,682.65 = 3,537.51 : x
  2. Step 2: Convert to fraction form
    3,793.83/5,682.65 = 3,537.51/x
  3. Step 3: Cross multiply
    3,793.83x = 5,682.65 × 3,537.51
  4. Step 4: Simplify right side
    3,793.83x = 20,102,413.51
  5. Step 5: Solve for x
    x = 20,102,413.51/3,793.83
  6. Step 6: Final answer
    x = 5,298.71

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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.