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Finding the Fourth Proportional to 5,884.29, 8,119.44 and 3,366

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Solution

The fourth proportional to 5,884.29, 8,119.44 and 3,366 is: 4,644.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,884.29 : 8,119.44 = 3,366 : x
  2. Step 2: Convert to fraction form
    5,884.29/8,119.44 = 3,366/x
  3. Step 3: Cross multiply
    5,884.29x = 8,119.44 × 3,366
  4. Step 4: Simplify right side
    5,884.29x = 27,330,035.04
  5. Step 5: Solve for x
    x = 27,330,035.04/5,884.29
  6. Step 6: Final answer
    x = 4,644.58

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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.