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Finding the Fourth Proportional to 5,842.20, 8,062.22 and 3,189.63

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Solution

The fourth proportional to 5,842.20, 8,062.22 and 3,189.63 is: 4,401.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.20 : 8,062.22 = 3,189.63 : x
  2. Step 2: Convert to fraction form
    5,842.20/8,062.22 = 3,189.63/x
  3. Step 3: Cross multiply
    5,842.20x = 8,062.22 × 3,189.63
  4. Step 4: Simplify right side
    5,842.20x = 25,715,482.83
  5. Step 5: Solve for x
    x = 25,715,482.83/5,842.20
  6. Step 6: Final answer
    x = 4,401.68

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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.