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Finding the Fourth Proportional to 4,296.92, 6,449.60 and 2,107.24

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Solution

The fourth proportional to 4,296.92, 6,449.60 and 2,107.24 is: 3,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.92 : 6,449.60 = 2,107.24 : x
  2. Step 2: Convert to fraction form
    4,296.92/6,449.60 = 2,107.24/x
  3. Step 3: Cross multiply
    4,296.92x = 6,449.60 × 2,107.24
  4. Step 4: Simplify right side
    4,296.92x = 13,590,855.10
  5. Step 5: Solve for x
    x = 13,590,855.10/4,296.92
  6. Step 6: Final answer
    x = 3,162.93

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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.