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Finding the Fourth Proportional to 3,872.22, 5,347.35 and 3,864.30

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Solution

The fourth proportional to 3,872.22, 5,347.35 and 3,864.30 is: 5,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.22 : 5,347.35 = 3,864.30 : x
  2. Step 2: Convert to fraction form
    3,872.22/5,347.35 = 3,864.30/x
  3. Step 3: Cross multiply
    3,872.22x = 5,347.35 × 3,864.30
  4. Step 4: Simplify right side
    3,872.22x = 20,663,764.61
  5. Step 5: Solve for x
    x = 20,663,764.61/3,872.22
  6. Step 6: Final answer
    x = 5,336.41

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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.