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Finding the Fourth Proportional to 6,296.57, 8,689.83 and 3,464.51

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Solution

The fourth proportional to 6,296.57, 8,689.83 and 3,464.51 is: 4,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.57 : 8,689.83 = 3,464.51 : x
  2. Step 2: Convert to fraction form
    6,296.57/8,689.83 = 3,464.51/x
  3. Step 3: Cross multiply
    6,296.57x = 8,689.83 × 3,464.51
  4. Step 4: Simplify right side
    6,296.57x = 30,105,959.48
  5. Step 5: Solve for x
    x = 30,105,959.48/6,296.57
  6. Step 6: Final answer
    x = 4,781.33

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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.