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Finding the Fourth Proportional to 3,899.92, 5,380.35 and 2,405.23

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Solution

The fourth proportional to 3,899.92, 5,380.35 and 2,405.23 is: 3,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.92 : 5,380.35 = 2,405.23 : x
  2. Step 2: Convert to fraction form
    3,899.92/5,380.35 = 2,405.23/x
  3. Step 3: Cross multiply
    3,899.92x = 5,380.35 × 2,405.23
  4. Step 4: Simplify right side
    3,899.92x = 12,940,985.24
  5. Step 5: Solve for x
    x = 12,940,985.24/3,899.92
  6. Step 6: Final answer
    x = 3,318.27

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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.