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Finding the Fourth Proportional to 3,847.52, 5,311.46 and 2,901.84

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Solution

The fourth proportional to 3,847.52, 5,311.46 and 2,901.84 is: 4,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.52 : 5,311.46 = 2,901.84 : x
  2. Step 2: Convert to fraction form
    3,847.52/5,311.46 = 2,901.84/x
  3. Step 3: Cross multiply
    3,847.52x = 5,311.46 × 2,901.84
  4. Step 4: Simplify right side
    3,847.52x = 15,413,007.09
  5. Step 5: Solve for x
    x = 15,413,007.09/3,847.52
  6. Step 6: Final answer
    x = 4,005.96

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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.