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Finding the Fourth Proportional to 5,781.72, 7,976.70 and 3,512.28

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Solution

The fourth proportional to 5,781.72, 7,976.70 and 3,512.28 is: 4,845.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.72 : 7,976.70 = 3,512.28 : x
  2. Step 2: Convert to fraction form
    5,781.72/7,976.70 = 3,512.28/x
  3. Step 3: Cross multiply
    5,781.72x = 7,976.70 × 3,512.28
  4. Step 4: Simplify right side
    5,781.72x = 28,016,403.88
  5. Step 5: Solve for x
    x = 28,016,403.88/5,781.72
  6. Step 6: Final answer
    x = 4,845.69

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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.