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Finding the Fourth Proportional to 5,811.57, 8,041.07 and 5,067.08

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Solution

The fourth proportional to 5,811.57, 8,041.07 and 5,067.08 is: 7,010.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.57 : 8,041.07 = 5,067.08 : x
  2. Step 2: Convert to fraction form
    5,811.57/8,041.07 = 5,067.08/x
  3. Step 3: Cross multiply
    5,811.57x = 8,041.07 × 5,067.08
  4. Step 4: Simplify right side
    5,811.57x = 40,744,679.43
  5. Step 5: Solve for x
    x = 40,744,679.43/5,811.57
  6. Step 6: Final answer
    x = 7,010.96

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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.