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Finding the Fourth Proportional to 3,800.64, 5,244.84 and 2,228.88

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Solution

The fourth proportional to 3,800.64, 5,244.84 and 2,228.88 is: 3,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.64 : 5,244.84 = 2,228.88 : x
  2. Step 2: Convert to fraction form
    3,800.64/5,244.84 = 2,228.88/x
  3. Step 3: Cross multiply
    3,800.64x = 5,244.84 × 2,228.88
  4. Step 4: Simplify right side
    3,800.64x = 11,690,118.98
  5. Step 5: Solve for x
    x = 11,690,118.98/3,800.64
  6. Step 6: Final answer
    x = 3,075.83

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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.