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Finding the Fourth Proportional to 5,755.47, 7,940.19 and 3,630.27

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Solution

The fourth proportional to 5,755.47, 7,940.19 and 3,630.27 is: 5,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.47 : 7,940.19 = 3,630.27 : x
  2. Step 2: Convert to fraction form
    5,755.47/7,940.19 = 3,630.27/x
  3. Step 3: Cross multiply
    5,755.47x = 7,940.19 × 3,630.27
  4. Step 4: Simplify right side
    5,755.47x = 28,825,053.40
  5. Step 5: Solve for x
    x = 28,825,053.40/5,755.47
  6. Step 6: Final answer
    x = 5,008.29

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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.