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Finding the Fourth Proportional to 3,901.98, 5,850.12 and 1,436.85

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Solution

The fourth proportional to 3,901.98, 5,850.12 and 1,436.85 is: 2,154.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.98 : 5,850.12 = 1,436.85 : x
  2. Step 2: Convert to fraction form
    3,901.98/5,850.12 = 1,436.85/x
  3. Step 3: Cross multiply
    3,901.98x = 5,850.12 × 1,436.85
  4. Step 4: Simplify right side
    3,901.98x = 8,405,750.31
  5. Step 5: Solve for x
    x = 8,405,750.31/3,901.98
  6. Step 6: Final answer
    x = 2,154.22

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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.