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Finding the Fourth Proportional to 5,408.38, 7,463.57 and 2,924.38

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Solution

The fourth proportional to 5,408.38, 7,463.57 and 2,924.38 is: 4,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.38 : 7,463.57 = 2,924.38 : x
  2. Step 2: Convert to fraction form
    5,408.38/7,463.57 = 2,924.38/x
  3. Step 3: Cross multiply
    5,408.38x = 7,463.57 × 2,924.38
  4. Step 4: Simplify right side
    5,408.38x = 21,826,314.84
  5. Step 5: Solve for x
    x = 21,826,314.84/5,408.38
  6. Step 6: Final answer
    x = 4,035.65

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Why These Related Problems?

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