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Finding the Fourth Proportional to 5,929.22, 8,183.46 and 3,413

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Solution

The fourth proportional to 5,929.22, 8,183.46 and 3,413 is: 4,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.22 : 8,183.46 = 3,413 : x
  2. Step 2: Convert to fraction form
    5,929.22/8,183.46 = 3,413/x
  3. Step 3: Cross multiply
    5,929.22x = 8,183.46 × 3,413
  4. Step 4: Simplify right side
    5,929.22x = 27,930,148.98
  5. Step 5: Solve for x
    x = 27,930,148.98/5,929.22
  6. Step 6: Final answer
    x = 4,710.59

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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.