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Finding the Fourth Proportional to 5,842.56, 8,062.66 and 3,189.94

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Solution

The fourth proportional to 5,842.56, 8,062.66 and 3,189.94 is: 4,402.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.56 : 8,062.66 = 3,189.94 : x
  2. Step 2: Convert to fraction form
    5,842.56/8,062.66 = 3,189.94/x
  3. Step 3: Cross multiply
    5,842.56x = 8,062.66 × 3,189.94
  4. Step 4: Simplify right side
    5,842.56x = 25,719,401.64
  5. Step 5: Solve for x
    x = 25,719,401.64/5,842.56
  6. Step 6: Final answer
    x = 4,402.08

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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.