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Finding the Fourth Proportional to 5,791.90, 7,992.42 and 3,274.13

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Solution

The fourth proportional to 5,791.90, 7,992.42 and 3,274.13 is: 4,518.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.90 : 7,992.42 = 3,274.13 : x
  2. Step 2: Convert to fraction form
    5,791.90/7,992.42 = 3,274.13/x
  3. Step 3: Cross multiply
    5,791.90x = 7,992.42 × 3,274.13
  4. Step 4: Simplify right side
    5,791.90x = 26,168,222.09
  5. Step 5: Solve for x
    x = 26,168,222.09/5,791.90
  6. Step 6: Final answer
    x = 4,518.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.