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Finding the Fourth Proportional to 5,194.56, 7,791.64 and 1,299

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Solution

The fourth proportional to 5,194.56, 7,791.64 and 1,299 is: 1,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.56 : 7,791.64 = 1,299 : x
  2. Step 2: Convert to fraction form
    5,194.56/7,791.64 = 1,299/x
  3. Step 3: Cross multiply
    5,194.56x = 7,791.64 × 1,299
  4. Step 4: Simplify right side
    5,194.56x = 10,121,340.36
  5. Step 5: Solve for x
    x = 10,121,340.36/5,194.56
  6. Step 6: Final answer
    x = 1,948.45

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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.