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Finding the Fourth Proportional to 6,296.05, 8,689.17 and 3,643.30

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Solution

The fourth proportional to 6,296.05, 8,689.17 and 3,643.30 is: 5,028.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.05 : 8,689.17 = 3,643.30 : x
  2. Step 2: Convert to fraction form
    6,296.05/8,689.17 = 3,643.30/x
  3. Step 3: Cross multiply
    6,296.05x = 8,689.17 × 3,643.30
  4. Step 4: Simplify right side
    6,296.05x = 31,657,253.06
  5. Step 5: Solve for x
    x = 31,657,253.06/6,296.05
  6. Step 6: Final answer
    x = 5,028.11

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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.