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Finding the Fourth Proportional to 3,849.37, 5,774.02 and 1,076.04

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Solution

The fourth proportional to 3,849.37, 5,774.02 and 1,076.04 is: 1,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.37 : 5,774.02 = 1,076.04 : x
  2. Step 2: Convert to fraction form
    3,849.37/5,774.02 = 1,076.04/x
  3. Step 3: Cross multiply
    3,849.37x = 5,774.02 × 1,076.04
  4. Step 4: Simplify right side
    3,849.37x = 6,213,076.48
  5. Step 5: Solve for x
    x = 6,213,076.48/3,849.37
  6. Step 6: Final answer
    x = 1,614.05

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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.