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Finding the Fourth Proportional to 5,044.74, 6,961.18 and 3,027.74

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Solution

The fourth proportional to 5,044.74, 6,961.18 and 3,027.74 is: 4,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.74 : 6,961.18 = 3,027.74 : x
  2. Step 2: Convert to fraction form
    5,044.74/6,961.18 = 3,027.74/x
  3. Step 3: Cross multiply
    5,044.74x = 6,961.18 × 3,027.74
  4. Step 4: Simplify right side
    5,044.74x = 21,076,643.13
  5. Step 5: Solve for x
    x = 21,076,643.13/5,044.74
  6. Step 6: Final answer
    x = 4,177.94

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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.