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Finding the Fourth Proportional to 3,871.12, 5,342.26 and 2,102.84

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Solution

The fourth proportional to 3,871.12, 5,342.26 and 2,102.84 is: 2,901.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.12 : 5,342.26 = 2,102.84 : x
  2. Step 2: Convert to fraction form
    3,871.12/5,342.26 = 2,102.84/x
  3. Step 3: Cross multiply
    3,871.12x = 5,342.26 × 2,102.84
  4. Step 4: Simplify right side
    3,871.12x = 11,233,918.02
  5. Step 5: Solve for x
    x = 11,233,918.02/3,871.12
  6. Step 6: Final answer
    x = 2,901.98

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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.