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Finding the Fourth Proportional to 3,768.95, 5,200.65 and 2,090.27

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Solution

The fourth proportional to 3,768.95, 5,200.65 and 2,090.27 is: 2,884.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.95 : 5,200.65 = 2,090.27 : x
  2. Step 2: Convert to fraction form
    3,768.95/5,200.65 = 2,090.27/x
  3. Step 3: Cross multiply
    3,768.95x = 5,200.65 × 2,090.27
  4. Step 4: Simplify right side
    3,768.95x = 10,870,762.68
  5. Step 5: Solve for x
    x = 10,870,762.68/3,768.95
  6. Step 6: Final answer
    x = 2,884.29

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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.