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Finding the Fourth Proportional to 6,310.29, 8,705.52 and 3,656.73

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Solution

The fourth proportional to 6,310.29, 8,705.52 and 3,656.73 is: 5,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.29 : 8,705.52 = 3,656.73 : x
  2. Step 2: Convert to fraction form
    6,310.29/8,705.52 = 3,656.73/x
  3. Step 3: Cross multiply
    6,310.29x = 8,705.52 × 3,656.73
  4. Step 4: Simplify right side
    6,310.29x = 31,833,736.15
  5. Step 5: Solve for x
    x = 31,833,736.15/6,310.29
  6. Step 6: Final answer
    x = 5,044.73

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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.