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Finding the Fourth Proportional to 3,579.77, 5,369.22 and 982.91

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Solution

The fourth proportional to 3,579.77, 5,369.22 and 982.91 is: 1,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.77 : 5,369.22 = 982.91 : x
  2. Step 2: Convert to fraction form
    3,579.77/5,369.22 = 982.91/x
  3. Step 3: Cross multiply
    3,579.77x = 5,369.22 × 982.91
  4. Step 4: Simplify right side
    3,579.77x = 5,277,433.18
  5. Step 5: Solve for x
    x = 5,277,433.18/3,579.77
  6. Step 6: Final answer
    x = 1,474.24

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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.