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Finding the Fourth Proportional to 3,296.96, 4,950.46 and 2,880.27

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Solution

The fourth proportional to 3,296.96, 4,950.46 and 2,880.27 is: 4,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.96 : 4,950.46 = 2,880.27 : x
  2. Step 2: Convert to fraction form
    3,296.96/4,950.46 = 2,880.27/x
  3. Step 3: Cross multiply
    3,296.96x = 4,950.46 × 2,880.27
  4. Step 4: Simplify right side
    3,296.96x = 14,258,643.87
  5. Step 5: Solve for x
    x = 14,258,643.87/3,296.96
  6. Step 6: Final answer
    x = 4,324.79

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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.