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Finding the Fourth Proportional to 3,822.15, 5,738.70 and 2,838

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Solution

The fourth proportional to 3,822.15, 5,738.70 and 2,838 is: 4,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.15 : 5,738.70 = 2,838 : x
  2. Step 2: Convert to fraction form
    3,822.15/5,738.70 = 2,838/x
  3. Step 3: Cross multiply
    3,822.15x = 5,738.70 × 2,838
  4. Step 4: Simplify right side
    3,822.15x = 16,286,416.41
  5. Step 5: Solve for x
    x = 16,286,416.41/3,822.15
  6. Step 6: Final answer
    x = 4,261.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.