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Finding the Fourth Proportional to 3,993.57, 5,992.21 and 2,047.14

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Solution

The fourth proportional to 3,993.57, 5,992.21 and 2,047.14 is: 3,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.57 : 5,992.21 = 2,047.14 : x
  2. Step 2: Convert to fraction form
    3,993.57/5,992.21 = 2,047.14/x
  3. Step 3: Cross multiply
    3,993.57x = 5,992.21 × 2,047.14
  4. Step 4: Simplify right side
    3,993.57x = 12,266,895.34
  5. Step 5: Solve for x
    x = 12,266,895.34/3,993.57
  6. Step 6: Final answer
    x = 3,071.66

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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.