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Finding the Fourth Proportional to 5,993.78, 8,989.14 and 2,296.22

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Solution

The fourth proportional to 5,993.78, 8,989.14 and 2,296.22 is: 3,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.78 : 8,989.14 = 2,296.22 : x
  2. Step 2: Convert to fraction form
    5,993.78/8,989.14 = 2,296.22/x
  3. Step 3: Cross multiply
    5,993.78x = 8,989.14 × 2,296.22
  4. Step 4: Simplify right side
    5,993.78x = 20,641,043.05
  5. Step 5: Solve for x
    x = 20,641,043.05/5,993.78
  6. Step 6: Final answer
    x = 3,443.74

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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.