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Finding the Fourth Proportional to 5,842.48, 8,062.31 and 3,189.38

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Solution

The fourth proportional to 5,842.48, 8,062.31 and 3,189.38 is: 4,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.48 : 8,062.31 = 3,189.38 : x
  2. Step 2: Convert to fraction form
    5,842.48/8,062.31 = 3,189.38/x
  3. Step 3: Cross multiply
    5,842.48x = 8,062.31 × 3,189.38
  4. Step 4: Simplify right side
    5,842.48x = 25,713,737.93
  5. Step 5: Solve for x
    x = 25,713,737.93/5,842.48
  6. Step 6: Final answer
    x = 4,401.17

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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.