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Finding the Fourth Proportional to 5,747.78, 7,927.38 and 3,728.99

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Solution

The fourth proportional to 5,747.78, 7,927.38 and 3,728.99 is: 5,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.78 : 7,927.38 = 3,728.99 : x
  2. Step 2: Convert to fraction form
    5,747.78/7,927.38 = 3,728.99/x
  3. Step 3: Cross multiply
    5,747.78x = 7,927.38 × 3,728.99
  4. Step 4: Simplify right side
    5,747.78x = 29,561,085.49
  5. Step 5: Solve for x
    x = 29,561,085.49/5,747.78
  6. Step 6: Final answer
    x = 5,143.05

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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.