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Finding the Fourth Proportional to 3,952.44, 5,428.44 and 3,288.24

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Solution

The fourth proportional to 3,952.44, 5,428.44 and 3,288.24 is: 4,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.44 : 5,428.44 = 3,288.24 : x
  2. Step 2: Convert to fraction form
    3,952.44/5,428.44 = 3,288.24/x
  3. Step 3: Cross multiply
    3,952.44x = 5,428.44 × 3,288.24
  4. Step 4: Simplify right side
    3,952.44x = 17,850,013.55
  5. Step 5: Solve for x
    x = 17,850,013.55/3,952.44
  6. Step 6: Final answer
    x = 4,516.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.