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Finding the Fourth Proportional to 4,274, 5,892.78 and 3,566.86

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Solution

The fourth proportional to 4,274, 5,892.78 and 3,566.86 is: 4,917.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274 : 5,892.78 = 3,566.86 : x
  2. Step 2: Convert to fraction form
    4,274/5,892.78 = 3,566.86/x
  3. Step 3: Cross multiply
    4,274x = 5,892.78 × 3,566.86
  4. Step 4: Simplify right side
    4,274x = 21,018,721.27
  5. Step 5: Solve for x
    x = 21,018,721.27/4,274
  6. Step 6: Final answer
    x = 4,917.81

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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.