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Finding the Fourth Proportional to 3,993.64, 5,990.90 and 1,072.17

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Solution

The fourth proportional to 3,993.64, 5,990.90 and 1,072.17 is: 1,608.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.64 : 5,990.90 = 1,072.17 : x
  2. Step 2: Convert to fraction form
    3,993.64/5,990.90 = 1,072.17/x
  3. Step 3: Cross multiply
    3,993.64x = 5,990.90 × 1,072.17
  4. Step 4: Simplify right side
    3,993.64x = 6,423,257.89
  5. Step 5: Solve for x
    x = 6,423,257.89/3,993.64
  6. Step 6: Final answer
    x = 1,608.37

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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.