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Finding the Fourth Proportional to 6,264, 8,645.76 and 3,781.44

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Solution

The fourth proportional to 6,264, 8,645.76 and 3,781.44 is: 5,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264 : 8,645.76 = 3,781.44 : x
  2. Step 2: Convert to fraction form
    6,264/8,645.76 = 3,781.44/x
  3. Step 3: Cross multiply
    6,264x = 8,645.76 × 3,781.44
  4. Step 4: Simplify right side
    6,264x = 32,693,422.69
  5. Step 5: Solve for x
    x = 32,693,422.69/6,264
  6. Step 6: Final answer
    x = 5,219.26

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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.