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Finding the Fourth Proportional to 3,816.92, 5,725.79 and 1,625.87

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Solution

The fourth proportional to 3,816.92, 5,725.79 and 1,625.87 is: 2,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.92 : 5,725.79 = 1,625.87 : x
  2. Step 2: Convert to fraction form
    3,816.92/5,725.79 = 1,625.87/x
  3. Step 3: Cross multiply
    3,816.92x = 5,725.79 × 1,625.87
  4. Step 4: Simplify right side
    3,816.92x = 9,309,402.47
  5. Step 5: Solve for x
    x = 9,309,402.47/3,816.92
  6. Step 6: Final answer
    x = 2,438.98

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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.