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Finding the Fourth Proportional to 3,849.82, 5,775.09 and 1,076.49

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Solution

The fourth proportional to 3,849.82, 5,775.09 and 1,076.49 is: 1,614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.82 : 5,775.09 = 1,076.49 : x
  2. Step 2: Convert to fraction form
    3,849.82/5,775.09 = 1,076.49/x
  3. Step 3: Cross multiply
    3,849.82x = 5,775.09 × 1,076.49
  4. Step 4: Simplify right side
    3,849.82x = 6,216,822.35
  5. Step 5: Solve for x
    x = 6,216,822.35/3,849.82
  6. Step 6: Final answer
    x = 1,614.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.