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Finding the Fourth Proportional to 3,860.55, 5,790.82 and 938.83

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Solution

The fourth proportional to 3,860.55, 5,790.82 and 938.83 is: 1,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.55 : 5,790.82 = 938.83 : x
  2. Step 2: Convert to fraction form
    3,860.55/5,790.82 = 938.83/x
  3. Step 3: Cross multiply
    3,860.55x = 5,790.82 × 938.83
  4. Step 4: Simplify right side
    3,860.55x = 5,436,595.54
  5. Step 5: Solve for x
    x = 5,436,595.54/3,860.55
  6. Step 6: Final answer
    x = 1,408.24

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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.