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Finding the Fourth Proportional to 3,871.99, 5,346.12 and 2,381.91

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Solution

The fourth proportional to 3,871.99, 5,346.12 and 2,381.91 is: 3,288.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.99 : 5,346.12 = 2,381.91 : x
  2. Step 2: Convert to fraction form
    3,871.99/5,346.12 = 2,381.91/x
  3. Step 3: Cross multiply
    3,871.99x = 5,346.12 × 2,381.91
  4. Step 4: Simplify right side
    3,871.99x = 12,733,976.69
  5. Step 5: Solve for x
    x = 12,733,976.69/3,871.99
  6. Step 6: Final answer
    x = 3,288.74

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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.