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Finding the Fourth Proportional to 6,296.66, 8,689.62 and 3,608.38

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Solution

The fourth proportional to 6,296.66, 8,689.62 and 3,608.38 is: 4,979.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.66 : 8,689.62 = 3,608.38 : x
  2. Step 2: Convert to fraction form
    6,296.66/8,689.62 = 3,608.38/x
  3. Step 3: Cross multiply
    6,296.66x = 8,689.62 × 3,608.38
  4. Step 4: Simplify right side
    6,296.66x = 31,355,451.02
  5. Step 5: Solve for x
    x = 31,355,451.02/6,296.66
  6. Step 6: Final answer
    x = 4,979.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.