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Finding the Fourth Proportional to 5,993.34, 8,989.74 and 2,297.32

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Solution

The fourth proportional to 5,993.34, 8,989.74 and 2,297.32 is: 3,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993.34 : 8,989.74 = 2,297.32 : x
  2. Step 2: Convert to fraction form
    5,993.34/8,989.74 = 2,297.32/x
  3. Step 3: Cross multiply
    5,993.34x = 8,989.74 × 2,297.32
  4. Step 4: Simplify right side
    5,993.34x = 20,652,309.50
  5. Step 5: Solve for x
    x = 20,652,309.50/5,993.34
  6. Step 6: Final answer
    x = 3,445.88

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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.