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Finding the Fourth Proportional to 6,296.51, 8,689.29 and 3,464.12

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Solution

The fourth proportional to 6,296.51, 8,689.29 and 3,464.12 is: 4,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.51 : 8,689.29 = 3,464.12 : x
  2. Step 2: Convert to fraction form
    6,296.51/8,689.29 = 3,464.12/x
  3. Step 3: Cross multiply
    6,296.51x = 8,689.29 × 3,464.12
  4. Step 4: Simplify right side
    6,296.51x = 30,100,743.27
  5. Step 5: Solve for x
    x = 30,100,743.27/6,296.51
  6. Step 6: Final answer
    x = 4,780.54

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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.