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Finding the Fourth Proportional to 3,849.37, 5,773.92 and 1,076.02

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Solution

The fourth proportional to 3,849.37, 5,773.92 and 1,076.02 is: 1,613.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.37 : 5,773.92 = 1,076.02 : x
  2. Step 2: Convert to fraction form
    3,849.37/5,773.92 = 1,076.02/x
  3. Step 3: Cross multiply
    3,849.37x = 5,773.92 × 1,076.02
  4. Step 4: Simplify right side
    3,849.37x = 6,212,853.40
  5. Step 5: Solve for x
    x = 6,212,853.40/3,849.37
  6. Step 6: Final answer
    x = 1,613.99

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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.