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Finding the Fourth Proportional to 5,722.64, 8,586.20 and 1,827.60

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Solution

The fourth proportional to 5,722.64, 8,586.20 and 1,827.60 is: 2,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.64 : 8,586.20 = 1,827.60 : x
  2. Step 2: Convert to fraction form
    5,722.64/8,586.20 = 1,827.60/x
  3. Step 3: Cross multiply
    5,722.64x = 8,586.20 × 1,827.60
  4. Step 4: Simplify right side
    5,722.64x = 15,692,139.12
  5. Step 5: Solve for x
    x = 15,692,139.12/5,722.64
  6. Step 6: Final answer
    x = 2,742.12

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