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Finding the Fourth Proportional to 4,327.76, 5,969.76 and 2,754.56

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Solution

The fourth proportional to 4,327.76, 5,969.76 and 2,754.56 is: 3,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.76 : 5,969.76 = 2,754.56 : x
  2. Step 2: Convert to fraction form
    4,327.76/5,969.76 = 2,754.56/x
  3. Step 3: Cross multiply
    4,327.76x = 5,969.76 × 2,754.56
  4. Step 4: Simplify right side
    4,327.76x = 16,444,062.11
  5. Step 5: Solve for x
    x = 16,444,062.11/4,327.76
  6. Step 6: Final answer
    x = 3,799.67

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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.