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Finding the Fourth Proportional to 2,609.32, 3,917.48 and 2,565.56

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Solution

The fourth proportional to 2,609.32, 3,917.48 and 2,565.56 is: 3,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.32 : 3,917.48 = 2,565.56 : x
  2. Step 2: Convert to fraction form
    2,609.32/3,917.48 = 2,565.56/x
  3. Step 3: Cross multiply
    2,609.32x = 3,917.48 × 2,565.56
  4. Step 4: Simplify right side
    2,609.32x = 10,050,529.99
  5. Step 5: Solve for x
    x = 10,050,529.99/2,609.32
  6. Step 6: Final answer
    x = 3,851.78

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