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Finding the Fourth Proportional to 4,296.57, 6,446.38 and 2,651.20

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Solution

The fourth proportional to 4,296.57, 6,446.38 and 2,651.20 is: 3,977.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.57 : 6,446.38 = 2,651.20 : x
  2. Step 2: Convert to fraction form
    4,296.57/6,446.38 = 2,651.20/x
  3. Step 3: Cross multiply
    4,296.57x = 6,446.38 × 2,651.20
  4. Step 4: Simplify right side
    4,296.57x = 17,090,642.66
  5. Step 5: Solve for x
    x = 17,090,642.66/4,296.57
  6. Step 6: Final answer
    x = 3,977.74

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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.