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Finding the Fourth Proportional to 3,734.70, 5,151.24 and 3,236.46

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Solution

The fourth proportional to 3,734.70, 5,151.24 and 3,236.46 is: 4,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.70 : 5,151.24 = 3,236.46 : x
  2. Step 2: Convert to fraction form
    3,734.70/5,151.24 = 3,236.46/x
  3. Step 3: Cross multiply
    3,734.70x = 5,151.24 × 3,236.46
  4. Step 4: Simplify right side
    3,734.70x = 16,671,782.21
  5. Step 5: Solve for x
    x = 16,671,782.21/3,734.70
  6. Step 6: Final answer
    x = 4,464.02

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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.