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Finding the Fourth Proportional to 3,722.57, 5,581.11 and 1,776.14

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Solution

The fourth proportional to 3,722.57, 5,581.11 and 1,776.14 is: 2,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.57 : 5,581.11 = 1,776.14 : x
  2. Step 2: Convert to fraction form
    3,722.57/5,581.11 = 1,776.14/x
  3. Step 3: Cross multiply
    3,722.57x = 5,581.11 × 1,776.14
  4. Step 4: Simplify right side
    3,722.57x = 9,912,832.72
  5. Step 5: Solve for x
    x = 9,912,832.72/3,722.57
  6. Step 6: Final answer
    x = 2,662.90

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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.