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Finding the Fourth Proportional to 3,871, 5,342.08 and 2,102.61

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Solution

The fourth proportional to 3,871, 5,342.08 and 2,102.61 is: 2,901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871 : 5,342.08 = 2,102.61 : x
  2. Step 2: Convert to fraction form
    3,871/5,342.08 = 2,102.61/x
  3. Step 3: Cross multiply
    3,871x = 5,342.08 × 2,102.61
  4. Step 4: Simplify right side
    3,871x = 11,232,278.86
  5. Step 5: Solve for x
    x = 11,232,278.86/3,871
  6. Step 6: Final answer
    x = 2,901.65

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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.