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Finding the Fourth Proportional to 5,842.79, 8,063 and 3,190.19

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Solution

The fourth proportional to 5,842.79, 8,063 and 3,190.19 is: 4,402.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.79 : 8,063 = 3,190.19 : x
  2. Step 2: Convert to fraction form
    5,842.79/8,063 = 3,190.19/x
  3. Step 3: Cross multiply
    5,842.79x = 8,063 × 3,190.19
  4. Step 4: Simplify right side
    5,842.79x = 25,722,501.97
  5. Step 5: Solve for x
    x = 25,722,501.97/5,842.79
  6. Step 6: Final answer
    x = 4,402.44

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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.