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Finding the Fourth Proportional to 5,489.41, 8,234.10 and 2,569.77

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Solution

The fourth proportional to 5,489.41, 8,234.10 and 2,569.77 is: 3,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.41 : 8,234.10 = 2,569.77 : x
  2. Step 2: Convert to fraction form
    5,489.41/8,234.10 = 2,569.77/x
  3. Step 3: Cross multiply
    5,489.41x = 8,234.10 × 2,569.77
  4. Step 4: Simplify right side
    5,489.41x = 21,159,743.16
  5. Step 5: Solve for x
    x = 21,159,743.16/5,489.41
  6. Step 6: Final answer
    x = 3,854.65

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