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Finding the Fourth Proportional to 3,871.38, 5,342.50 and 2,103.01

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Solution

The fourth proportional to 3,871.38, 5,342.50 and 2,103.01 is: 2,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.38 : 5,342.50 = 2,103.01 : x
  2. Step 2: Convert to fraction form
    3,871.38/5,342.50 = 2,103.01/x
  3. Step 3: Cross multiply
    3,871.38x = 5,342.50 × 2,103.01
  4. Step 4: Simplify right side
    3,871.38x = 11,235,330.93
  5. Step 5: Solve for x
    x = 11,235,330.93/3,871.38
  6. Step 6: Final answer
    x = 2,902.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.