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Finding the Fourth Proportional to 3,579.52, 5,369.04 and 982.24

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Solution

The fourth proportional to 3,579.52, 5,369.04 and 982.24 is: 1,473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.52 : 5,369.04 = 982.24 : x
  2. Step 2: Convert to fraction form
    3,579.52/5,369.04 = 982.24/x
  3. Step 3: Cross multiply
    3,579.52x = 5,369.04 × 982.24
  4. Step 4: Simplify right side
    3,579.52x = 5,273,685.85
  5. Step 5: Solve for x
    x = 5,273,685.85/3,579.52
  6. Step 6: Final answer
    x = 1,473.29

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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.