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Finding the Fourth Proportional to 3,571.72, 5,349.66 and 2,743.90

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Solution

The fourth proportional to 3,571.72, 5,349.66 and 2,743.90 is: 4,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,571.72 : 5,349.66 = 2,743.90 : x
  2. Step 2: Convert to fraction form
    3,571.72/5,349.66 = 2,743.90/x
  3. Step 3: Cross multiply
    3,571.72x = 5,349.66 × 2,743.90
  4. Step 4: Simplify right side
    3,571.72x = 14,678,932.07
  5. Step 5: Solve for x
    x = 14,678,932.07/3,571.72
  6. Step 6: Final answer
    x = 4,109.77

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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.