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Finding the Fourth Proportional to 5,638.40, 8,457.84 and 1,742.88

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Solution

The fourth proportional to 5,638.40, 8,457.84 and 1,742.88 is: 2,614.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.40 : 8,457.84 = 1,742.88 : x
  2. Step 2: Convert to fraction form
    5,638.40/8,457.84 = 1,742.88/x
  3. Step 3: Cross multiply
    5,638.40x = 8,457.84 × 1,742.88
  4. Step 4: Simplify right side
    5,638.40x = 14,741,000.18
  5. Step 5: Solve for x
    x = 14,741,000.18/5,638.40
  6. Step 6: Final answer
    x = 2,614.39

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