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Finding the Fourth Proportional to 3,904.81, 5,856.91 and 1,564.72

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Solution

The fourth proportional to 3,904.81, 5,856.91 and 1,564.72 is: 2,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.81 : 5,856.91 = 1,564.72 : x
  2. Step 2: Convert to fraction form
    3,904.81/5,856.91 = 1,564.72/x
  3. Step 3: Cross multiply
    3,904.81x = 5,856.91 × 1,564.72
  4. Step 4: Simplify right side
    3,904.81x = 9,164,405.66
  5. Step 5: Solve for x
    x = 9,164,405.66/3,904.81
  6. Step 6: Final answer
    x = 2,346.95

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