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Finding the Fourth Proportional to 5,617.71, 8,422.60 and 2,496.02

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Solution

The fourth proportional to 5,617.71, 8,422.60 and 2,496.02 is: 3,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.71 : 8,422.60 = 2,496.02 : x
  2. Step 2: Convert to fraction form
    5,617.71/8,422.60 = 2,496.02/x
  3. Step 3: Cross multiply
    5,617.71x = 8,422.60 × 2,496.02
  4. Step 4: Simplify right side
    5,617.71x = 21,022,978.05
  5. Step 5: Solve for x
    x = 21,022,978.05/5,617.71
  6. Step 6: Final answer
    x = 3,742.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.