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Finding the Fourth Proportional to 5,591.38, 7,719.16 and 3,917.92

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Solution

The fourth proportional to 5,591.38, 7,719.16 and 3,917.92 is: 5,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.38 : 7,719.16 = 3,917.92 : x
  2. Step 2: Convert to fraction form
    5,591.38/7,719.16 = 3,917.92/x
  3. Step 3: Cross multiply
    5,591.38x = 7,719.16 × 3,917.92
  4. Step 4: Simplify right side
    5,591.38x = 30,243,051.35
  5. Step 5: Solve for x
    x = 30,243,051.35/5,591.38
  6. Step 6: Final answer
    x = 5,408.87

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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.