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Finding the Fourth Proportional to 3,969.53, 5,952.36 and 1,195.68

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Solution

The fourth proportional to 3,969.53, 5,952.36 and 1,195.68 is: 1,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.53 : 5,952.36 = 1,195.68 : x
  2. Step 2: Convert to fraction form
    3,969.53/5,952.36 = 1,195.68/x
  3. Step 3: Cross multiply
    3,969.53x = 5,952.36 × 1,195.68
  4. Step 4: Simplify right side
    3,969.53x = 7,117,117.80
  5. Step 5: Solve for x
    x = 7,117,117.80/3,969.53
  6. Step 6: Final answer
    x = 1,792.94

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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.