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Finding the Fourth Proportional to 5,681.21, 7,840 and 3,163.26

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Solution

The fourth proportional to 5,681.21, 7,840 and 3,163.26 is: 4,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.21 : 7,840 = 3,163.26 : x
  2. Step 2: Convert to fraction form
    5,681.21/7,840 = 3,163.26/x
  3. Step 3: Cross multiply
    5,681.21x = 7,840 × 3,163.26
  4. Step 4: Simplify right side
    5,681.21x = 24,799,919.20
  5. Step 5: Solve for x
    x = 24,799,919.20/5,681.21
  6. Step 6: Final answer
    x = 4,365.25

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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.