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Finding the Fourth Proportional to 4,469.68, 6,696.04 and 2,984.42

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Solution

The fourth proportional to 4,469.68, 6,696.04 and 2,984.42 is: 4,470.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.68 : 6,696.04 = 2,984.42 : x
  2. Step 2: Convert to fraction form
    4,469.68/6,696.04 = 2,984.42/x
  3. Step 3: Cross multiply
    4,469.68x = 6,696.04 × 2,984.42
  4. Step 4: Simplify right side
    4,469.68x = 19,983,795.70
  5. Step 5: Solve for x
    x = 19,983,795.70/4,469.68
  6. Step 6: Final answer
    x = 4,470.97

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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.