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Finding the Fourth Proportional to 3,734.37, 5,601.49 and 3,153.11

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Solution

The fourth proportional to 3,734.37, 5,601.49 and 3,153.11 is: 4,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.37 : 5,601.49 = 3,153.11 : x
  2. Step 2: Convert to fraction form
    3,734.37/5,601.49 = 3,153.11/x
  3. Step 3: Cross multiply
    3,734.37x = 5,601.49 × 3,153.11
  4. Step 4: Simplify right side
    3,734.37x = 17,662,078.24
  5. Step 5: Solve for x
    x = 17,662,078.24/3,734.37
  6. Step 6: Final answer
    x = 4,729.60

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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.