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Finding the Fourth Proportional to 6,305.92, 8,702.56 and 3,653.68

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Solution

The fourth proportional to 6,305.92, 8,702.56 and 3,653.68 is: 5,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.92 : 8,702.56 = 3,653.68 : x
  2. Step 2: Convert to fraction form
    6,305.92/8,702.56 = 3,653.68/x
  3. Step 3: Cross multiply
    6,305.92x = 8,702.56 × 3,653.68
  4. Step 4: Simplify right side
    6,305.92x = 31,796,369.42
  5. Step 5: Solve for x
    x = 31,796,369.42/6,305.92
  6. Step 6: Final answer
    x = 5,042.30

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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.