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Finding the Fourth Proportional to 5,688.56, 8,534.28 and 1,584.56

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Solution

The fourth proportional to 5,688.56, 8,534.28 and 1,584.56 is: 2,377.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.56 : 8,534.28 = 1,584.56 : x
  2. Step 2: Convert to fraction form
    5,688.56/8,534.28 = 1,584.56/x
  3. Step 3: Cross multiply
    5,688.56x = 8,534.28 × 1,584.56
  4. Step 4: Simplify right side
    5,688.56x = 13,523,105.99
  5. Step 5: Solve for x
    x = 13,523,105.99/5,688.56
  6. Step 6: Final answer
    x = 2,377.24

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