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Finding the Fourth Proportional to 5,459.91, 8,191.14 and 1,564.21

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Solution

The fourth proportional to 5,459.91, 8,191.14 and 1,564.21 is: 2,346.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.91 : 8,191.14 = 1,564.21 : x
  2. Step 2: Convert to fraction form
    5,459.91/8,191.14 = 1,564.21/x
  3. Step 3: Cross multiply
    5,459.91x = 8,191.14 × 1,564.21
  4. Step 4: Simplify right side
    5,459.91x = 12,812,663.10
  5. Step 5: Solve for x
    x = 12,812,663.10/5,459.91
  6. Step 6: Final answer
    x = 2,346.68

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