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Finding the Fourth Proportional to 5,647.33, 7,793.51 and 3,408.76

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Solution

The fourth proportional to 5,647.33, 7,793.51 and 3,408.76 is: 4,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.33 : 7,793.51 = 3,408.76 : x
  2. Step 2: Convert to fraction form
    5,647.33/7,793.51 = 3,408.76/x
  3. Step 3: Cross multiply
    5,647.33x = 7,793.51 × 3,408.76
  4. Step 4: Simplify right side
    5,647.33x = 26,566,233.80
  5. Step 5: Solve for x
    x = 26,566,233.80/5,647.33
  6. Step 6: Final answer
    x = 4,704.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.