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Finding the Fourth Proportional to 5,681.32, 7,840.15 and 3,163.44

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Solution

The fourth proportional to 5,681.32, 7,840.15 and 3,163.44 is: 4,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.32 : 7,840.15 = 3,163.44 : x
  2. Step 2: Convert to fraction form
    5,681.32/7,840.15 = 3,163.44/x
  3. Step 3: Cross multiply
    5,681.32x = 7,840.15 × 3,163.44
  4. Step 4: Simplify right side
    5,681.32x = 24,801,844.12
  5. Step 5: Solve for x
    x = 24,801,844.12/5,681.32
  6. Step 6: Final answer
    x = 4,365.51

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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.