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Finding the Fourth Proportional to 3,986.42, 5,981.14 and 1,796.68

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Solution

The fourth proportional to 3,986.42, 5,981.14 and 1,796.68 is: 2,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.42 : 5,981.14 = 1,796.68 : x
  2. Step 2: Convert to fraction form
    3,986.42/5,981.14 = 1,796.68/x
  3. Step 3: Cross multiply
    3,986.42x = 5,981.14 × 1,796.68
  4. Step 4: Simplify right side
    3,986.42x = 10,746,204.34
  5. Step 5: Solve for x
    x = 10,746,204.34/3,986.42
  6. Step 6: Final answer
    x = 2,695.71

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Why These Related Problems?

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