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Finding the Fourth Proportional to 3,871.42, 5,342.60 and 2,103.04

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Solution

The fourth proportional to 3,871.42, 5,342.60 and 2,103.04 is: 2,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.42 : 5,342.60 = 2,103.04 : x
  2. Step 2: Convert to fraction form
    3,871.42/5,342.60 = 2,103.04/x
  3. Step 3: Cross multiply
    3,871.42x = 5,342.60 × 2,103.04
  4. Step 4: Simplify right side
    3,871.42x = 11,235,690.99
  5. Step 5: Solve for x
    x = 11,235,690.99/3,871.42
  6. Step 6: Final answer
    x = 2,902.21

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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.