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Finding the Fourth Proportional to 6,335.73, 8,741.17 and 4,100.43

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Solution

The fourth proportional to 6,335.73, 8,741.17 and 4,100.43 is: 5,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.73 : 8,741.17 = 4,100.43 : x
  2. Step 2: Convert to fraction form
    6,335.73/8,741.17 = 4,100.43/x
  3. Step 3: Cross multiply
    6,335.73x = 8,741.17 × 4,100.43
  4. Step 4: Simplify right side
    6,335.73x = 35,842,545.45
  5. Step 5: Solve for x
    x = 35,842,545.45/6,335.73
  6. Step 6: Final answer
    x = 5,657.21

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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.