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Finding the Fourth Proportional to 3,800.90, 5,245.14 and 2,228.96

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Solution

The fourth proportional to 3,800.90, 5,245.14 and 2,228.96 is: 3,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.90 : 5,245.14 = 2,228.96 : x
  2. Step 2: Convert to fraction form
    3,800.90/5,245.14 = 2,228.96/x
  3. Step 3: Cross multiply
    3,800.90x = 5,245.14 × 2,228.96
  4. Step 4: Simplify right side
    3,800.90x = 11,691,207.25
  5. Step 5: Solve for x
    x = 11,691,207.25/3,800.90
  6. Step 6: Final answer
    x = 3,075.90

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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.