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Finding the Fourth Proportional to 3,722.61, 5,583.84 and 949.22

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Solution

The fourth proportional to 3,722.61, 5,583.84 and 949.22 is: 1,423.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.61 : 5,583.84 = 949.22 : x
  2. Step 2: Convert to fraction form
    3,722.61/5,583.84 = 949.22/x
  3. Step 3: Cross multiply
    3,722.61x = 5,583.84 × 949.22
  4. Step 4: Simplify right side
    3,722.61x = 5,300,282.07
  5. Step 5: Solve for x
    x = 5,300,282.07/3,722.61
  6. Step 6: Final answer
    x = 1,423.81

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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.