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Finding the Fourth Proportional to 3,776.33, 5,209.29 and 2,284.73

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Solution

The fourth proportional to 3,776.33, 5,209.29 and 2,284.73 is: 3,151.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.33 : 5,209.29 = 2,284.73 : x
  2. Step 2: Convert to fraction form
    3,776.33/5,209.29 = 2,284.73/x
  3. Step 3: Cross multiply
    3,776.33x = 5,209.29 × 2,284.73
  4. Step 4: Simplify right side
    3,776.33x = 11,901,821.14
  5. Step 5: Solve for x
    x = 11,901,821.14/3,776.33
  6. Step 6: Final answer
    x = 3,151.69

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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.