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Finding the Fourth Proportional to 5,440.38, 7,507.77 and 2,956.38

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Solution

The fourth proportional to 5,440.38, 7,507.77 and 2,956.38 is: 4,079.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,440.38 : 7,507.77 = 2,956.38 : x
  2. Step 2: Convert to fraction form
    5,440.38/7,507.77 = 2,956.38/x
  3. Step 3: Cross multiply
    5,440.38x = 7,507.77 × 2,956.38
  4. Step 4: Simplify right side
    5,440.38x = 22,195,768.75
  5. Step 5: Solve for x
    x = 22,195,768.75/5,440.38
  6. Step 6: Final answer
    x = 4,079.82

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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.