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Finding the Fourth Proportional to 3,837, 5,295.06 and 2,181

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Solution

The fourth proportional to 3,837, 5,295.06 and 2,181 is: 3,009.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837 : 5,295.06 = 2,181 : x
  2. Step 2: Convert to fraction form
    3,837/5,295.06 = 2,181/x
  3. Step 3: Cross multiply
    3,837x = 5,295.06 × 2,181
  4. Step 4: Simplify right side
    3,837x = 11,548,525.86
  5. Step 5: Solve for x
    x = 11,548,525.86/3,837
  6. Step 6: Final answer
    x = 3,009.78

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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.