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Finding the Fourth Proportional to 3,871.05, 5,342.06 and 2,102.66

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Solution

The fourth proportional to 3,871.05, 5,342.06 and 2,102.66 is: 2,901.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.05 : 5,342.06 = 2,102.66 : x
  2. Step 2: Convert to fraction form
    3,871.05/5,342.06 = 2,102.66/x
  3. Step 3: Cross multiply
    3,871.05x = 5,342.06 × 2,102.66
  4. Step 4: Simplify right side
    3,871.05x = 11,232,535.88
  5. Step 5: Solve for x
    x = 11,232,535.88/3,871.05
  6. Step 6: Final answer
    x = 2,901.68

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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.