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Finding the Fourth Proportional to 2,750.96, 3,795.24 and 1,571.12

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Solution

The fourth proportional to 2,750.96, 3,795.24 and 1,571.12 is: 2,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.96 : 3,795.24 = 1,571.12 : x
  2. Step 2: Convert to fraction form
    2,750.96/3,795.24 = 1,571.12/x
  3. Step 3: Cross multiply
    2,750.96x = 3,795.24 × 1,571.12
  4. Step 4: Simplify right side
    2,750.96x = 5,962,777.47
  5. Step 5: Solve for x
    x = 5,962,777.47/2,750.96
  6. Step 6: Final answer
    x = 2,167.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.