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Finding the Fourth Proportional to 3,952.80, 5,896.80 and 3,952.80

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Solution

The fourth proportional to 3,952.80, 5,896.80 and 3,952.80 is: 5,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.80 : 5,896.80 = 3,952.80 : x
  2. Step 2: Convert to fraction form
    3,952.80/5,896.80 = 3,952.80/x
  3. Step 3: Cross multiply
    3,952.80x = 5,896.80 × 3,952.80
  4. Step 4: Simplify right side
    3,952.80x = 23,308,871.04
  5. Step 5: Solve for x
    x = 23,308,871.04/3,952.80
  6. Step 6: Final answer
    x = 5,896.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.