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Finding the Fourth Proportional to 3,774.13, 5,662.78 and 1,899.02

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Solution

The fourth proportional to 3,774.13, 5,662.78 and 1,899.02 is: 2,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.13 : 5,662.78 = 1,899.02 : x
  2. Step 2: Convert to fraction form
    3,774.13/5,662.78 = 1,899.02/x
  3. Step 3: Cross multiply
    3,774.13x = 5,662.78 × 1,899.02
  4. Step 4: Simplify right side
    3,774.13x = 10,753,741.88
  5. Step 5: Solve for x
    x = 10,753,741.88/3,774.13
  6. Step 6: Final answer
    x = 2,849.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.