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Finding the Fourth Proportional to 3,847.81, 5,311.76 and 2,254.24

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Solution

The fourth proportional to 3,847.81, 5,311.76 and 2,254.24 is: 3,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.81 : 5,311.76 = 2,254.24 : x
  2. Step 2: Convert to fraction form
    3,847.81/5,311.76 = 2,254.24/x
  3. Step 3: Cross multiply
    3,847.81x = 5,311.76 × 2,254.24
  4. Step 4: Simplify right side
    3,847.81x = 11,973,957.31
  5. Step 5: Solve for x
    x = 11,973,957.31/3,847.81
  6. Step 6: Final answer
    x = 3,111.89

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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.