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Finding the Fourth Proportional to 3,403.56, 5,106.42 and 2,582.76

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Solution

The fourth proportional to 3,403.56, 5,106.42 and 2,582.76 is: 3,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.56 : 5,106.42 = 2,582.76 : x
  2. Step 2: Convert to fraction form
    3,403.56/5,106.42 = 2,582.76/x
  3. Step 3: Cross multiply
    3,403.56x = 5,106.42 × 2,582.76
  4. Step 4: Simplify right side
    3,403.56x = 13,188,657.32
  5. Step 5: Solve for x
    x = 13,188,657.32/3,403.56
  6. Step 6: Final answer
    x = 3,874.96

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