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Finding the Fourth Proportional to 3,868.32, 5,801.04 and 1,921.44

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Solution

The fourth proportional to 3,868.32, 5,801.04 and 1,921.44 is: 2,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.32 : 5,801.04 = 1,921.44 : x
  2. Step 2: Convert to fraction form
    3,868.32/5,801.04 = 1,921.44/x
  3. Step 3: Cross multiply
    3,868.32x = 5,801.04 × 1,921.44
  4. Step 4: Simplify right side
    3,868.32x = 11,146,350.30
  5. Step 5: Solve for x
    x = 11,146,350.30/3,868.32
  6. Step 6: Final answer
    x = 2,881.44

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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.