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Finding the Fourth Proportional to 5,194.04, 7,791.04 and 1,298.42

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Solution

The fourth proportional to 5,194.04, 7,791.04 and 1,298.42 is: 1,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.04 : 7,791.04 = 1,298.42 : x
  2. Step 2: Convert to fraction form
    5,194.04/7,791.04 = 1,298.42/x
  3. Step 3: Cross multiply
    5,194.04x = 7,791.04 × 1,298.42
  4. Step 4: Simplify right side
    5,194.04x = 10,116,042.16
  5. Step 5: Solve for x
    x = 10,116,042.16/5,194.04
  6. Step 6: Final answer
    x = 1,947.63

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Similar ratio
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1.5x scale

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.