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Finding the Fourth Proportional to 5,730.78, 8,593.62 and 2,770.68

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Solution

The fourth proportional to 5,730.78, 8,593.62 and 2,770.68 is: 4,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.78 : 8,593.62 = 2,770.68 : x
  2. Step 2: Convert to fraction form
    5,730.78/8,593.62 = 2,770.68/x
  3. Step 3: Cross multiply
    5,730.78x = 8,593.62 × 2,770.68
  4. Step 4: Simplify right side
    5,730.78x = 23,810,171.06
  5. Step 5: Solve for x
    x = 23,810,171.06/5,730.78
  6. Step 6: Final answer
    x = 4,154.79

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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.