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Finding the Fourth Proportional to 5,772.20, 7,966.96 and 3,781.62

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Solution

The fourth proportional to 5,772.20, 7,966.96 and 3,781.62 is: 5,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.20 : 7,966.96 = 3,781.62 : x
  2. Step 2: Convert to fraction form
    5,772.20/7,966.96 = 3,781.62/x
  3. Step 3: Cross multiply
    5,772.20x = 7,966.96 × 3,781.62
  4. Step 4: Simplify right side
    5,772.20x = 30,128,005.82
  5. Step 5: Solve for x
    x = 30,128,005.82/5,772.20
  6. Step 6: Final answer
    x = 5,219.51

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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.