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Finding the Fourth Proportional to 5,849.48, 8,074.56 and 3,960.14

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Solution

The fourth proportional to 5,849.48, 8,074.56 and 3,960.14 is: 5,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.48 : 8,074.56 = 3,960.14 : x
  2. Step 2: Convert to fraction form
    5,849.48/8,074.56 = 3,960.14/x
  3. Step 3: Cross multiply
    5,849.48x = 8,074.56 × 3,960.14
  4. Step 4: Simplify right side
    5,849.48x = 31,976,388.04
  5. Step 5: Solve for x
    x = 31,976,388.04/5,849.48
  6. Step 6: Final answer
    x = 5,466.54

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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.