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Finding the Fourth Proportional to 3,837, 5,295.44 and 2,511.42

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Solution

The fourth proportional to 3,837, 5,295.44 and 2,511.42 is: 3,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 5,295.44 = 2,511.42 : x
  2. Step 2: Convert to fraction form
    3,837/5,295.44 = 2,511.42/x
  3. Step 3: Cross multiply
    3,837x = 5,295.44 × 2,511.42
  4. Step 4: Simplify right side
    3,837x = 13,299,073.92
  5. Step 5: Solve for x
    x = 13,299,073.92/3,837
  6. Step 6: Final answer
    x = 3,466.01

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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.