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Finding the Fourth Proportional to 3,871.63, 5,342.69 and 2,103.20

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Solution

The fourth proportional to 3,871.63, 5,342.69 and 2,103.20 is: 2,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.63 : 5,342.69 = 2,103.20 : x
  2. Step 2: Convert to fraction form
    3,871.63/5,342.69 = 2,103.20/x
  3. Step 3: Cross multiply
    3,871.63x = 5,342.69 × 2,103.20
  4. Step 4: Simplify right side
    3,871.63x = 11,236,744.19
  5. Step 5: Solve for x
    x = 11,236,744.19/3,871.63
  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.