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Finding the Fourth Proportional to 6,104.80, 9,164.40 and 3,474.40

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Solution

The fourth proportional to 6,104.80, 9,164.40 and 3,474.40 is: 5,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.80 : 9,164.40 = 3,474.40 : x
  2. Step 2: Convert to fraction form
    6,104.80/9,164.40 = 3,474.40/x
  3. Step 3: Cross multiply
    6,104.80x = 9,164.40 × 3,474.40
  4. Step 4: Simplify right side
    6,104.80x = 31,840,791.36
  5. Step 5: Solve for x
    x = 31,840,791.36/6,104.80
  6. Step 6: Final answer
    x = 5,215.70

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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.