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Finding the Fourth Proportional to 4,193.17, 6,289.97 and 1,073.21

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Solution

The fourth proportional to 4,193.17, 6,289.97 and 1,073.21 is: 1,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193.17 : 6,289.97 = 1,073.21 : x
  2. Step 2: Convert to fraction form
    4,193.17/6,289.97 = 1,073.21/x
  3. Step 3: Cross multiply
    4,193.17x = 6,289.97 × 1,073.21
  4. Step 4: Simplify right side
    4,193.17x = 6,750,429.94
  5. Step 5: Solve for x
    x = 6,750,429.94/4,193.17
  6. Step 6: Final answer
    x = 1,609.86

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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.