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Finding the Fourth Proportional to 3,811, 5,261.34 and 2,877.88

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Solution

The fourth proportional to 3,811, 5,261.34 and 2,877.88 is: 3,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811 : 5,261.34 = 2,877.88 : x
  2. Step 2: Convert to fraction form
    3,811/5,261.34 = 2,877.88/x
  3. Step 3: Cross multiply
    3,811x = 5,261.34 × 2,877.88
  4. Step 4: Simplify right side
    3,811x = 15,141,505.16
  5. Step 5: Solve for x
    x = 15,141,505.16/3,811
  6. Step 6: Final answer
    x = 3,973.11

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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.