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Finding the Fourth Proportional to 3,337, 5,016.30 and 3,096.52

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Solution

The fourth proportional to 3,337, 5,016.30 and 3,096.52 is: 4,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337 : 5,016.30 = 3,096.52 : x
  2. Step 2: Convert to fraction form
    3,337/5,016.30 = 3,096.52/x
  3. Step 3: Cross multiply
    3,337x = 5,016.30 × 3,096.52
  4. Step 4: Simplify right side
    3,337x = 15,533,073.28
  5. Step 5: Solve for x
    x = 15,533,073.28/3,337
  6. Step 6: Final answer
    x = 4,654.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.