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Finding the Fourth Proportional to 3,725.37, 5,141.25 and 2,464.25

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Solution

The fourth proportional to 3,725.37, 5,141.25 and 2,464.25 is: 3,400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.37 : 5,141.25 = 2,464.25 : x
  2. Step 2: Convert to fraction form
    3,725.37/5,141.25 = 2,464.25/x
  3. Step 3: Cross multiply
    3,725.37x = 5,141.25 × 2,464.25
  4. Step 4: Simplify right side
    3,725.37x = 12,669,299.61
  5. Step 5: Solve for x
    x = 12,669,299.61/3,725.37
  6. Step 6: Final answer
    x = 3,400.82

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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.