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Finding the Fourth Proportional to 3,903.62, 5,850.29 and 3,408.77

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Solution

The fourth proportional to 3,903.62, 5,850.29 and 3,408.77 is: 5,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.62 : 5,850.29 = 3,408.77 : x
  2. Step 2: Convert to fraction form
    3,903.62/5,850.29 = 3,408.77/x
  3. Step 3: Cross multiply
    3,903.62x = 5,850.29 × 3,408.77
  4. Step 4: Simplify right side
    3,903.62x = 19,942,246.75
  5. Step 5: Solve for x
    x = 19,942,246.75/3,903.62
  6. Step 6: Final answer
    x = 5,108.66

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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.