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Finding the Fourth Proportional to 3,722.60, 5,583.79 and 949.27

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Solution

The fourth proportional to 3,722.60, 5,583.79 and 949.27 is: 1,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.60 : 5,583.79 = 949.27 : x
  2. Step 2: Convert to fraction form
    3,722.60/5,583.79 = 949.27/x
  3. Step 3: Cross multiply
    3,722.60x = 5,583.79 × 949.27
  4. Step 4: Simplify right side
    3,722.60x = 5,300,491.67
  5. Step 5: Solve for x
    x = 5,300,491.67/3,722.60
  6. Step 6: Final answer
    x = 1,423.87

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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.