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Finding the Fourth Proportional to 3,768.96, 5,201.16 and 2,090.62

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Solution

The fourth proportional to 3,768.96, 5,201.16 and 2,090.62 is: 2,885.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.96 : 5,201.16 = 2,090.62 : x
  2. Step 2: Convert to fraction form
    3,768.96/5,201.16 = 2,090.62/x
  3. Step 3: Cross multiply
    3,768.96x = 5,201.16 × 2,090.62
  4. Step 4: Simplify right side
    3,768.96x = 10,873,655.62
  5. Step 5: Solve for x
    x = 10,873,655.62/3,768.96
  6. Step 6: Final answer
    x = 2,885.05

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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.