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Finding the Fourth Proportional to 2,672.02, 4,008.03 and 2,471.14

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Solution

The fourth proportional to 2,672.02, 4,008.03 and 2,471.14 is: 3,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.02 : 4,008.03 = 2,471.14 : x
  2. Step 2: Convert to fraction form
    2,672.02/4,008.03 = 2,471.14/x
  3. Step 3: Cross multiply
    2,672.02x = 4,008.03 × 2,471.14
  4. Step 4: Simplify right side
    2,672.02x = 9,904,403.25
  5. Step 5: Solve for x
    x = 9,904,403.25/2,672.02
  6. Step 6: Final answer
    x = 3,706.71

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Why These Related Problems?

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