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Finding the Fourth Proportional to 5,794, 8,002.32 and 3,927.76

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Solution

The fourth proportional to 5,794, 8,002.32 and 3,927.76 is: 5,424.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794 : 8,002.32 = 3,927.76 : x
  2. Step 2: Convert to fraction form
    5,794/8,002.32 = 3,927.76/x
  3. Step 3: Cross multiply
    5,794x = 8,002.32 × 3,927.76
  4. Step 4: Simplify right side
    5,794x = 31,431,192.40
  5. Step 5: Solve for x
    x = 31,431,192.40/5,794
  6. Step 6: Final answer
    x = 5,424.78

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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.