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Finding the Fourth Proportional to 5,324.24, 7,975.20 and 2,553.20

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Solution

The fourth proportional to 5,324.24, 7,975.20 and 2,553.20 is: 3,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,324.24 : 7,975.20 = 2,553.20 : x
  2. Step 2: Convert to fraction form
    5,324.24/7,975.20 = 2,553.20/x
  3. Step 3: Cross multiply
    5,324.24x = 7,975.20 × 2,553.20
  4. Step 4: Simplify right side
    5,324.24x = 20,362,280.64
  5. Step 5: Solve for x
    x = 20,362,280.64/5,324.24
  6. Step 6: Final answer
    x = 3,824.45

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1.5x scale

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.