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Finding the Fourth Proportional to 3,722.96, 5,584.29 and 949.70

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Solution

The fourth proportional to 3,722.96, 5,584.29 and 949.70 is: 1,424.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.96 : 5,584.29 = 949.70 : x
  2. Step 2: Convert to fraction form
    3,722.96/5,584.29 = 949.70/x
  3. Step 3: Cross multiply
    3,722.96x = 5,584.29 × 949.70
  4. Step 4: Simplify right side
    3,722.96x = 5,303,400.21
  5. Step 5: Solve for x
    x = 5,303,400.21/3,722.96
  6. Step 6: Final answer
    x = 1,424.51

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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.