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Finding the Fourth Proportional to 5,635.73, 8,458.74 and 2,864.31

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Solution

The fourth proportional to 5,635.73, 8,458.74 and 2,864.31 is: 4,299.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.73 : 8,458.74 = 2,864.31 : x
  2. Step 2: Convert to fraction form
    5,635.73/8,458.74 = 2,864.31/x
  3. Step 3: Cross multiply
    5,635.73x = 8,458.74 × 2,864.31
  4. Step 4: Simplify right side
    5,635.73x = 24,228,453.57
  5. Step 5: Solve for x
    x = 24,228,453.57/5,635.73
  6. Step 6: Final answer
    x = 4,299.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.