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Finding the Fourth Proportional to 3,582.27, 5,372.79 and 949.80

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Solution

The fourth proportional to 3,582.27, 5,372.79 and 949.80 is: 1,424.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.27 : 5,372.79 = 949.80 : x
  2. Step 2: Convert to fraction form
    3,582.27/5,372.79 = 949.80/x
  3. Step 3: Cross multiply
    3,582.27x = 5,372.79 × 949.80
  4. Step 4: Simplify right side
    3,582.27x = 5,103,075.94
  5. Step 5: Solve for x
    x = 5,103,075.94/3,582.27
  6. Step 6: Final answer
    x = 1,424.54

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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.