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Finding the Fourth Proportional to 3,776.45, 5,209.88 and 2,263.17

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Solution

The fourth proportional to 3,776.45, 5,209.88 and 2,263.17 is: 3,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.45 : 5,209.88 = 2,263.17 : x
  2. Step 2: Convert to fraction form
    3,776.45/5,209.88 = 2,263.17/x
  3. Step 3: Cross multiply
    3,776.45x = 5,209.88 × 2,263.17
  4. Step 4: Simplify right side
    3,776.45x = 11,790,844.12
  5. Step 5: Solve for x
    x = 11,790,844.12/3,776.45
  6. Step 6: Final answer
    x = 3,122.20

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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.