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Finding the Fourth Proportional to 5,842.11, 8,757.95 and 2,143.48

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Solution

The fourth proportional to 5,842.11, 8,757.95 and 2,143.48 is: 3,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.11 : 8,757.95 = 2,143.48 : x
  2. Step 2: Convert to fraction form
    5,842.11/8,757.95 = 2,143.48/x
  3. Step 3: Cross multiply
    5,842.11x = 8,757.95 × 2,143.48
  4. Step 4: Simplify right side
    5,842.11x = 18,772,474.13
  5. Step 5: Solve for x
    x = 18,772,474.13/5,842.11
  6. Step 6: Final answer
    x = 3,213.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.