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Finding the Fourth Proportional to 3,993.09, 5,984.14 and 2,041.22

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Solution

The fourth proportional to 3,993.09, 5,984.14 and 2,041.22 is: 3,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.09 : 5,984.14 = 2,041.22 : x
  2. Step 2: Convert to fraction form
    3,993.09/5,984.14 = 2,041.22/x
  3. Step 3: Cross multiply
    3,993.09x = 5,984.14 × 2,041.22
  4. Step 4: Simplify right side
    3,993.09x = 12,214,946.25
  5. Step 5: Solve for x
    x = 12,214,946.25/3,993.09
  6. Step 6: Final answer
    x = 3,059.02

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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.