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Finding the Fourth Proportional to 4,487.37, 6,732.43 and 2,297.65

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Solution

The fourth proportional to 4,487.37, 6,732.43 and 2,297.65 is: 3,447.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,487.37 : 6,732.43 = 2,297.65 : x
  2. Step 2: Convert to fraction form
    4,487.37/6,732.43 = 2,297.65/x
  3. Step 3: Cross multiply
    4,487.37x = 6,732.43 × 2,297.65
  4. Step 4: Simplify right side
    4,487.37x = 15,468,745.21
  5. Step 5: Solve for x
    x = 15,468,745.21/4,487.37
  6. Step 6: Final answer
    x = 3,447.17

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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.