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Finding the Fourth Proportional to 3,489.02, 5,233.65 and 1,640.12

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Solution

The fourth proportional to 3,489.02, 5,233.65 and 1,640.12 is: 2,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.02 : 5,233.65 = 1,640.12 : x
  2. Step 2: Convert to fraction form
    3,489.02/5,233.65 = 1,640.12/x
  3. Step 3: Cross multiply
    3,489.02x = 5,233.65 × 1,640.12
  4. Step 4: Simplify right side
    3,489.02x = 8,583,814.04
  5. Step 5: Solve for x
    x = 8,583,814.04/3,489.02
  6. Step 6: Final answer
    x = 2,460.24

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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.