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Finding the Fourth Proportional to 3,993.83, 5,991.93 and 2,047.40

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Solution

The fourth proportional to 3,993.83, 5,991.93 and 2,047.40 is: 3,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.83 : 5,991.93 = 2,047.40 : x
  2. Step 2: Convert to fraction form
    3,993.83/5,991.93 = 2,047.40/x
  3. Step 3: Cross multiply
    3,993.83x = 5,991.93 × 2,047.40
  4. Step 4: Simplify right side
    3,993.83x = 12,267,877.48
  5. Step 5: Solve for x
    x = 12,267,877.48/3,993.83
  6. Step 6: Final answer
    x = 3,071.71

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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.