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Finding the Fourth Proportional to 5,103.96, 7,641.07 and 3,793.52

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Solution

The fourth proportional to 5,103.96, 7,641.07 and 3,793.52 is: 5,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.96 : 7,641.07 = 3,793.52 : x
  2. Step 2: Convert to fraction form
    5,103.96/7,641.07 = 3,793.52/x
  3. Step 3: Cross multiply
    5,103.96x = 7,641.07 × 3,793.52
  4. Step 4: Simplify right side
    5,103.96x = 28,986,494.69
  5. Step 5: Solve for x
    x = 28,986,494.69/5,103.96
  6. Step 6: Final answer
    x = 5,679.22

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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.