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Finding the Fourth Proportional to 4,969.44, 7,451.32 and 2,049.76

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Solution

The fourth proportional to 4,969.44, 7,451.32 and 2,049.76 is: 3,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.44 : 7,451.32 = 2,049.76 : x
  2. Step 2: Convert to fraction form
    4,969.44/7,451.32 = 2,049.76/x
  3. Step 3: Cross multiply
    4,969.44x = 7,451.32 × 2,049.76
  4. Step 4: Simplify right side
    4,969.44x = 15,273,417.68
  5. Step 5: Solve for x
    x = 15,273,417.68/4,969.44
  6. Step 6: Final answer
    x = 3,073.47

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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.