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Finding the Fourth Proportional to 3,722.70, 5,582.70 and 1,500.60

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Solution

The fourth proportional to 3,722.70, 5,582.70 and 1,500.60 is: 2,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.70 : 5,582.70 = 1,500.60 : x
  2. Step 2: Convert to fraction form
    3,722.70/5,582.70 = 1,500.60/x
  3. Step 3: Cross multiply
    3,722.70x = 5,582.70 × 1,500.60
  4. Step 4: Simplify right side
    3,722.70x = 8,377,399.62
  5. Step 5: Solve for x
    x = 8,377,399.62/3,722.70
  6. Step 6: Final answer
    x = 2,250.36

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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.