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Finding the Fourth Proportional to 3,898.12, 5,843.82 and 1,588.12

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Solution

The fourth proportional to 3,898.12, 5,843.82 and 1,588.12 is: 2,380.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.12 : 5,843.82 = 1,588.12 : x
  2. Step 2: Convert to fraction form
    3,898.12/5,843.82 = 1,588.12/x
  3. Step 3: Cross multiply
    3,898.12x = 5,843.82 × 1,588.12
  4. Step 4: Simplify right side
    3,898.12x = 9,280,687.42
  5. Step 5: Solve for x
    x = 9,280,687.42/3,898.12
  6. Step 6: Final answer
    x = 2,380.81

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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.