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Finding the Fourth Proportional to 3,189.44, 4,405.64 and 2,660.06

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Solution

The fourth proportional to 3,189.44, 4,405.64 and 2,660.06 is: 3,674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.44 : 4,405.64 = 2,660.06 : x
  2. Step 2: Convert to fraction form
    3,189.44/4,405.64 = 2,660.06/x
  3. Step 3: Cross multiply
    3,189.44x = 4,405.64 × 2,660.06
  4. Step 4: Simplify right side
    3,189.44x = 11,719,251.36
  5. Step 5: Solve for x
    x = 11,719,251.36/3,189.44
  6. Step 6: Final answer
    x = 3,674.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.