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Finding the Fourth Proportional to 3,849.72, 5,773.24 and 1,252

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Solution

The fourth proportional to 3,849.72, 5,773.24 and 1,252 is: 1,877.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.72 : 5,773.24 = 1,252 : x
  2. Step 2: Convert to fraction form
    3,849.72/5,773.24 = 1,252/x
  3. Step 3: Cross multiply
    3,849.72x = 5,773.24 × 1,252
  4. Step 4: Simplify right side
    3,849.72x = 7,228,096.48
  5. Step 5: Solve for x
    x = 7,228,096.48/3,849.72
  6. Step 6: Final answer
    x = 1,877.56

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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.