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Finding the Fourth Proportional to 6,296.74, 8,689.41 and 3,464.24

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Solution

The fourth proportional to 6,296.74, 8,689.41 and 3,464.24 is: 4,780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.74 : 8,689.41 = 3,464.24 : x
  2. Step 2: Convert to fraction form
    6,296.74/8,689.41 = 3,464.24/x
  3. Step 3: Cross multiply
    6,296.74x = 8,689.41 × 3,464.24
  4. Step 4: Simplify right side
    6,296.74x = 30,102,158.25
  5. Step 5: Solve for x
    x = 30,102,158.25/6,296.74
  6. Step 6: Final answer
    x = 4,780.60

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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.