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Finding the Fourth Proportional to 5,681.23, 7,840.02 and 3,163.27

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Solution

The fourth proportional to 5,681.23, 7,840.02 and 3,163.27 is: 4,365.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.23 : 7,840.02 = 3,163.27 : x
  2. Step 2: Convert to fraction form
    5,681.23/7,840.02 = 3,163.27/x
  3. Step 3: Cross multiply
    5,681.23x = 7,840.02 × 3,163.27
  4. Step 4: Simplify right side
    5,681.23x = 24,800,100.07
  5. Step 5: Solve for x
    x = 24,800,100.07/5,681.23
  6. Step 6: Final answer
    x = 4,365.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.