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Finding the Fourth Proportional to 3,816.52, 5,726.46 and 1,625.80

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Solution

The fourth proportional to 3,816.52, 5,726.46 and 1,625.80 is: 2,439.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.52 : 5,726.46 = 1,625.80 : x
  2. Step 2: Convert to fraction form
    3,816.52/5,726.46 = 1,625.80/x
  3. Step 3: Cross multiply
    3,816.52x = 5,726.46 × 1,625.80
  4. Step 4: Simplify right side
    3,816.52x = 9,310,078.67
  5. Step 5: Solve for x
    x = 9,310,078.67/3,816.52
  6. Step 6: Final answer
    x = 2,439.42

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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.