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Finding the Fourth Proportional to 3,816.48, 5,725.62 and 1,625.28

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Solution

The fourth proportional to 3,816.48, 5,725.62 and 1,625.28 is: 2,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.48 : 5,725.62 = 1,625.28 : x
  2. Step 2: Convert to fraction form
    3,816.48/5,725.62 = 1,625.28/x
  3. Step 3: Cross multiply
    3,816.48x = 5,725.62 × 1,625.28
  4. Step 4: Simplify right side
    3,816.48x = 9,305,735.67
  5. Step 5: Solve for x
    x = 9,305,735.67/3,816.48
  6. Step 6: Final answer
    x = 2,438.30

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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.