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Finding the Fourth Proportional to 5,697.24, 8,540.78 and 3,066.17

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Solution

The fourth proportional to 5,697.24, 8,540.78 and 3,066.17 is: 4,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.24 : 8,540.78 = 3,066.17 : x
  2. Step 2: Convert to fraction form
    5,697.24/8,540.78 = 3,066.17/x
  3. Step 3: Cross multiply
    5,697.24x = 8,540.78 × 3,066.17
  4. Step 4: Simplify right side
    5,697.24x = 26,187,425.38
  5. Step 5: Solve for x
    x = 26,187,425.38/5,697.24
  6. Step 6: Final answer
    x = 4,596.51

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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.