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Finding the Fourth Proportional to 6,296.57, 8,688.73 and 3,644.14

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Solution

The fourth proportional to 6,296.57, 8,688.73 and 3,644.14 is: 5,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.57 : 8,688.73 = 3,644.14 : x
  2. Step 2: Convert to fraction form
    6,296.57/8,688.73 = 3,644.14/x
  3. Step 3: Cross multiply
    6,296.57x = 8,688.73 × 3,644.14
  4. Step 4: Simplify right side
    6,296.57x = 31,662,939.43
  5. Step 5: Solve for x
    x = 31,662,939.43/6,296.57
  6. Step 6: Final answer
    x = 5,028.60

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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.