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Finding the Fourth Proportional to 3,814.58, 5,722.68 and 1,316.00

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Solution

The fourth proportional to 3,814.58, 5,722.68 and 1,316.00 is: 1,974.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.58 : 5,722.68 = 1,316.00 : x
  2. Step 2: Convert to fraction form
    3,814.58/5,722.68 = 1,316.00/x
  3. Step 3: Cross multiply
    3,814.58x = 5,722.68 × 1,316.00
  4. Step 4: Simplify right side
    3,814.58x = 7,531,011.69
  5. Step 5: Solve for x
    x = 7,531,011.69/3,814.58
  6. Step 6: Final answer
    x = 1,974.27

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