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Finding the Fourth Proportional to 3,905.65, 5,858.57 and 1,406.71

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Solution

The fourth proportional to 3,905.65, 5,858.57 and 1,406.71 is: 2,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.65 : 5,858.57 = 1,406.71 : x
  2. Step 2: Convert to fraction form
    3,905.65/5,858.57 = 1,406.71/x
  3. Step 3: Cross multiply
    3,905.65x = 5,858.57 × 1,406.71
  4. Step 4: Simplify right side
    3,905.65x = 8,241,301.97
  5. Step 5: Solve for x
    x = 8,241,301.97/3,905.65
  6. Step 6: Final answer
    x = 2,110.10

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