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Finding the Fourth Proportional to 3,871.32, 5,342.46 and 2,102.94

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Solution

The fourth proportional to 3,871.32, 5,342.46 and 2,102.94 is: 2,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.32 : 5,342.46 = 2,102.94 : x
  2. Step 2: Convert to fraction form
    3,871.32/5,342.46 = 2,102.94/x
  3. Step 3: Cross multiply
    3,871.32x = 5,342.46 × 2,102.94
  4. Step 4: Simplify right side
    3,871.32x = 11,234,872.83
  5. Step 5: Solve for x
    x = 11,234,872.83/3,871.32
  6. Step 6: Final answer
    x = 2,902.08

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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.