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Finding the Fourth Proportional to 3,768.01, 5,200.39 and 2,089.79

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Solution

The fourth proportional to 3,768.01, 5,200.39 and 2,089.79 is: 2,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.01 : 5,200.39 = 2,089.79 : x
  2. Step 2: Convert to fraction form
    3,768.01/5,200.39 = 2,089.79/x
  3. Step 3: Cross multiply
    3,768.01x = 5,200.39 × 2,089.79
  4. Step 4: Simplify right side
    3,768.01x = 10,867,686.57
  5. Step 5: Solve for x
    x = 10,867,686.57/3,768.01
  6. Step 6: Final answer
    x = 2,884.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.