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Finding the Fourth Proportional to 4,189.74, 5,783.04 and 2,773.66

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Solution

The fourth proportional to 4,189.74, 5,783.04 and 2,773.66 is: 3,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.74 : 5,783.04 = 2,773.66 : x
  2. Step 2: Convert to fraction form
    4,189.74/5,783.04 = 2,773.66/x
  3. Step 3: Cross multiply
    4,189.74x = 5,783.04 × 2,773.66
  4. Step 4: Simplify right side
    4,189.74x = 16,040,186.73
  5. Step 5: Solve for x
    x = 16,040,186.73/4,189.74
  6. Step 6: Final answer
    x = 3,828.44

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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.