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Finding the Fourth Proportional to 3,871.53, 5,342.69 and 2,103.14

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Solution

The fourth proportional to 3,871.53, 5,342.69 and 2,103.14 is: 2,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.53 : 5,342.69 = 2,103.14 : x
  2. Step 2: Convert to fraction form
    3,871.53/5,342.69 = 2,103.14/x
  3. Step 3: Cross multiply
    3,871.53x = 5,342.69 × 2,103.14
  4. Step 4: Simplify right side
    3,871.53x = 11,236,443.66
  5. Step 5: Solve for x
    x = 11,236,443.66/3,871.53
  6. Step 6: Final answer
    x = 2,902.33

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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.