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Finding the Fourth Proportional to 3,871.14, 5,801.04 and 1,919.45

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Solution

The fourth proportional to 3,871.14, 5,801.04 and 1,919.45 is: 2,876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.14 : 5,801.04 = 1,919.45 : x
  2. Step 2: Convert to fraction form
    3,871.14/5,801.04 = 1,919.45/x
  3. Step 3: Cross multiply
    3,871.14x = 5,801.04 × 1,919.45
  4. Step 4: Simplify right side
    3,871.14x = 11,134,777.22
  5. Step 5: Solve for x
    x = 11,134,777.22/3,871.14
  6. Step 6: Final answer
    x = 2,876.36

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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.