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Finding the Fourth Proportional to 3,895.76, 5,842.86 and 1,429.74

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Solution

The fourth proportional to 3,895.76, 5,842.86 and 1,429.74 is: 2,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.76 : 5,842.86 = 1,429.74 : x
  2. Step 2: Convert to fraction form
    3,895.76/5,842.86 = 1,429.74/x
  3. Step 3: Cross multiply
    3,895.76x = 5,842.86 × 1,429.74
  4. Step 4: Simplify right side
    3,895.76x = 8,353,770.66
  5. Step 5: Solve for x
    x = 8,353,770.66/3,895.76
  6. Step 6: Final answer
    x = 2,144.32

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