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Finding the Fourth Proportional to 5,842.37, 8,062.15 and 3,189.72

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Solution

The fourth proportional to 5,842.37, 8,062.15 and 3,189.72 is: 4,401.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.37 : 8,062.15 = 3,189.72 : x
  2. Step 2: Convert to fraction form
    5,842.37/8,062.15 = 3,189.72/x
  3. Step 3: Cross multiply
    5,842.37x = 8,062.15 × 3,189.72
  4. Step 4: Simplify right side
    5,842.37x = 25,716,001.10
  5. Step 5: Solve for x
    x = 25,716,001.10/5,842.37
  6. Step 6: Final answer
    x = 4,401.64

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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.