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Finding the Fourth Proportional to 5,152.43, 7,105 and 4,408.85

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Solution

The fourth proportional to 5,152.43, 7,105 and 4,408.85 is: 6,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.43 : 7,105 = 4,408.85 : x
  2. Step 2: Convert to fraction form
    5,152.43/7,105 = 4,408.85/x
  3. Step 3: Cross multiply
    5,152.43x = 7,105 × 4,408.85
  4. Step 4: Simplify right side
    5,152.43x = 31,324,879.25
  5. Step 5: Solve for x
    x = 31,324,879.25/5,152.43
  6. Step 6: Final answer
    x = 6,079.63

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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.