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Finding the Fourth Proportional to 3,980.22, 5,964.66 and 2,033.79

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Solution

The fourth proportional to 3,980.22, 5,964.66 and 2,033.79 is: 3,047.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.22 : 5,964.66 = 2,033.79 : x
  2. Step 2: Convert to fraction form
    3,980.22/5,964.66 = 2,033.79/x
  3. Step 3: Cross multiply
    3,980.22x = 5,964.66 × 2,033.79
  4. Step 4: Simplify right side
    3,980.22x = 12,130,865.86
  5. Step 5: Solve for x
    x = 12,130,865.86/3,980.22
  6. Step 6: Final answer
    x = 3,047.79

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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.