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Finding the Fourth Proportional to 3,256.76, 4,884.35 and 1,406.86

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Solution

The fourth proportional to 3,256.76, 4,884.35 and 1,406.86 is: 2,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.76 : 4,884.35 = 1,406.86 : x
  2. Step 2: Convert to fraction form
    3,256.76/4,884.35 = 1,406.86/x
  3. Step 3: Cross multiply
    3,256.76x = 4,884.35 × 1,406.86
  4. Step 4: Simplify right side
    3,256.76x = 6,871,596.64
  5. Step 5: Solve for x
    x = 6,871,596.64/3,256.76
  6. Step 6: Final answer
    x = 2,109.95

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