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Finding the Fourth Proportional to 5,933.64, 8,189.42 and 4,018.60

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Solution

The fourth proportional to 5,933.64, 8,189.42 and 4,018.60 is: 5,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.64 : 8,189.42 = 4,018.60 : x
  2. Step 2: Convert to fraction form
    5,933.64/8,189.42 = 4,018.60/x
  3. Step 3: Cross multiply
    5,933.64x = 8,189.42 × 4,018.60
  4. Step 4: Simplify right side
    5,933.64x = 32,909,993.17
  5. Step 5: Solve for x
    x = 32,909,993.17/5,933.64
  6. Step 6: Final answer
    x = 5,546.34

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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.