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Finding the Fourth Proportional to 5,478.40, 8,216.08 and 1,581.76

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Solution

The fourth proportional to 5,478.40, 8,216.08 and 1,581.76 is: 2,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.40 : 8,216.08 = 1,581.76 : x
  2. Step 2: Convert to fraction form
    5,478.40/8,216.08 = 1,581.76/x
  3. Step 3: Cross multiply
    5,478.40x = 8,216.08 × 1,581.76
  4. Step 4: Simplify right side
    5,478.40x = 12,995,866.70
  5. Step 5: Solve for x
    x = 12,995,866.70/5,478.40
  6. Step 6: Final answer
    x = 2,372.20

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