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Finding the Fourth Proportional to 5,179.69, 7,769.47 and 1,284.06

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Solution

The fourth proportional to 5,179.69, 7,769.47 and 1,284.06 is: 1,926.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.69 : 7,769.47 = 1,284.06 : x
  2. Step 2: Convert to fraction form
    5,179.69/7,769.47 = 1,284.06/x
  3. Step 3: Cross multiply
    5,179.69x = 7,769.47 × 1,284.06
  4. Step 4: Simplify right side
    5,179.69x = 9,976,465.65
  5. Step 5: Solve for x
    x = 9,976,465.65/5,179.69
  6. Step 6: Final answer
    x = 1,926.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.