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Finding the Fourth Proportional to 5,179.69, 7,769.46 and 1,284.07

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Solution

The fourth proportional to 5,179.69, 7,769.46 and 1,284.07 is: 1,926.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.69 : 7,769.46 = 1,284.07 : x
  2. Step 2: Convert to fraction form
    5,179.69/7,769.46 = 1,284.07/x
  3. Step 3: Cross multiply
    5,179.69x = 7,769.46 × 1,284.07
  4. Step 4: Simplify right side
    5,179.69x = 9,976,530.50
  5. Step 5: Solve for x
    x = 9,976,530.50/5,179.69
  6. Step 6: Final answer
    x = 1,926.09

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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.