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Finding the Fourth Proportional to 5,842.32, 8,062.28 and 3,189.75

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Solution

The fourth proportional to 5,842.32, 8,062.28 and 3,189.75 is: 4,401.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.32 : 8,062.28 = 3,189.75 : x
  2. Step 2: Convert to fraction form
    5,842.32/8,062.28 = 3,189.75/x
  3. Step 3: Cross multiply
    5,842.32x = 8,062.28 × 3,189.75
  4. Step 4: Simplify right side
    5,842.32x = 25,716,623.41
  5. Step 5: Solve for x
    x = 25,716,623.41/5,842.32
  6. Step 6: Final answer
    x = 4,401.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.