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Finding the Fourth Proportional to 3,383.52, 4,659.07 and 3,186.24

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Solution

The fourth proportional to 3,383.52, 4,659.07 and 3,186.24 is: 4,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.52 : 4,659.07 = 3,186.24 : x
  2. Step 2: Convert to fraction form
    3,383.52/4,659.07 = 3,186.24/x
  3. Step 3: Cross multiply
    3,383.52x = 4,659.07 × 3,186.24
  4. Step 4: Simplify right side
    3,383.52x = 14,844,915.20
  5. Step 5: Solve for x
    x = 14,844,915.20/3,383.52
  6. Step 6: Final answer
    x = 4,387.42

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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.