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Finding the Fourth Proportional to 5,322, 7,984.89 and 3,858.60

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Solution

The fourth proportional to 5,322, 7,984.89 and 3,858.60 is: 5,789.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322 : 7,984.89 = 3,858.60 : x
  2. Step 2: Convert to fraction form
    5,322/7,984.89 = 3,858.60/x
  3. Step 3: Cross multiply
    5,322x = 7,984.89 × 3,858.60
  4. Step 4: Simplify right side
    5,322x = 30,810,496.55
  5. Step 5: Solve for x
    x = 30,810,496.55/5,322
  6. Step 6: Final answer
    x = 5,789.27

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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.