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Finding the Fourth Proportional to 7,720.80, 11,581.20 and 3,832.80

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Solution

The fourth proportional to 7,720.80, 11,581.20 and 3,832.80 is: 5,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.80 : 11,581.20 = 3,832.80 : x
  2. Step 2: Convert to fraction form
    7,720.80/11,581.20 = 3,832.80/x
  3. Step 3: Cross multiply
    7,720.80x = 11,581.20 × 3,832.80
  4. Step 4: Simplify right side
    7,720.80x = 44,388,423.36
  5. Step 5: Solve for x
    x = 44,388,423.36/7,720.80
  6. Step 6: Final answer
    x = 5,749.20

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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.