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Finding the Fourth Proportional to 3,924.30, 5,422.05 and 3,173.88

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Solution

The fourth proportional to 3,924.30, 5,422.05 and 3,173.88 is: 4,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.30 : 5,422.05 = 3,173.88 : x
  2. Step 2: Convert to fraction form
    3,924.30/5,422.05 = 3,173.88/x
  3. Step 3: Cross multiply
    3,924.30x = 5,422.05 × 3,173.88
  4. Step 4: Simplify right side
    3,924.30x = 17,208,960.85
  5. Step 5: Solve for x
    x = 17,208,960.85/3,924.30
  6. Step 6: Final answer
    x = 4,385.23

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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.