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Finding the Fourth Proportional to 3,404.58, 5,105.54 and 1,324.31

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Solution

The fourth proportional to 3,404.58, 5,105.54 and 1,324.31 is: 1,985.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.58 : 5,105.54 = 1,324.31 : x
  2. Step 2: Convert to fraction form
    3,404.58/5,105.54 = 1,324.31/x
  3. Step 3: Cross multiply
    3,404.58x = 5,105.54 × 1,324.31
  4. Step 4: Simplify right side
    3,404.58x = 6,761,295.46
  5. Step 5: Solve for x
    x = 6,761,295.46/3,404.58
  6. Step 6: Final answer
    x = 1,985.94

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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.