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Finding the Fourth Proportional to 3,793.68, 5,688.46 and 2,040.77

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Solution

The fourth proportional to 3,793.68, 5,688.46 and 2,040.77 is: 3,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.68 : 5,688.46 = 2,040.77 : x
  2. Step 2: Convert to fraction form
    3,793.68/5,688.46 = 2,040.77/x
  3. Step 3: Cross multiply
    3,793.68x = 5,688.46 × 2,040.77
  4. Step 4: Simplify right side
    3,793.68x = 11,608,855.29
  5. Step 5: Solve for x
    x = 11,608,855.29/3,793.68
  6. Step 6: Final answer
    x = 3,060.05

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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.