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Finding the Fourth Proportional to 3,986.82, 5,980.26 and 1,065.09

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Solution

The fourth proportional to 3,986.82, 5,980.26 and 1,065.09 is: 1,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.82 : 5,980.26 = 1,065.09 : x
  2. Step 2: Convert to fraction form
    3,986.82/5,980.26 = 1,065.09/x
  3. Step 3: Cross multiply
    3,986.82x = 5,980.26 × 1,065.09
  4. Step 4: Simplify right side
    3,986.82x = 6,369,515.12
  5. Step 5: Solve for x
    x = 6,369,515.12/3,986.82
  6. Step 6: Final answer
    x = 1,597.64

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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.