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Finding the Fourth Proportional to 6,264.53, 8,645.04 and 3,906.66

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Solution

The fourth proportional to 6,264.53, 8,645.04 and 3,906.66 is: 5,391.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,264.53 : 8,645.04 = 3,906.66 : x
  2. Step 2: Convert to fraction form
    6,264.53/8,645.04 = 3,906.66/x
  3. Step 3: Cross multiply
    6,264.53x = 8,645.04 × 3,906.66
  4. Step 4: Simplify right side
    6,264.53x = 33,773,231.97
  5. Step 5: Solve for x
    x = 33,773,231.97/6,264.53
  6. Step 6: Final answer
    x = 5,391.19

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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.