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Finding the Fourth Proportional to 5,791.02, 7,991.58 and 3,138.42

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Solution

The fourth proportional to 5,791.02, 7,991.58 and 3,138.42 is: 4,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.02 : 7,991.58 = 3,138.42 : x
  2. Step 2: Convert to fraction form
    5,791.02/7,991.58 = 3,138.42/x
  3. Step 3: Cross multiply
    5,791.02x = 7,991.58 × 3,138.42
  4. Step 4: Simplify right side
    5,791.02x = 25,080,934.50
  5. Step 5: Solve for x
    x = 25,080,934.50/5,791.02
  6. Step 6: Final answer
    x = 4,331.00

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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.