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Finding the Fourth Proportional to 5,842.44, 8,756.11 and 2,140.24

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Solution

The fourth proportional to 5,842.44, 8,756.11 and 2,140.24 is: 3,207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.44 : 8,756.11 = 2,140.24 : x
  2. Step 2: Convert to fraction form
    5,842.44/8,756.11 = 2,140.24/x
  3. Step 3: Cross multiply
    5,842.44x = 8,756.11 × 2,140.24
  4. Step 4: Simplify right side
    5,842.44x = 18,740,176.87
  5. Step 5: Solve for x
    x = 18,740,176.87/5,842.44
  6. Step 6: Final answer
    x = 3,207.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.