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Finding the Fourth Proportional to 5,179.94, 7,769.82 and 1,284.34

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Solution

The fourth proportional to 5,179.94, 7,769.82 and 1,284.34 is: 1,926.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.94 : 7,769.82 = 1,284.34 : x
  2. Step 2: Convert to fraction form
    5,179.94/7,769.82 = 1,284.34/x
  3. Step 3: Cross multiply
    5,179.94x = 7,769.82 × 1,284.34
  4. Step 4: Simplify right side
    5,179.94x = 9,979,090.62
  5. Step 5: Solve for x
    x = 9,979,090.62/5,179.94
  6. Step 6: Final answer
    x = 1,926.49

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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.