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Finding the Fourth Proportional to 3,816.52, 5,724.86 and 1,625.64

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Solution

The fourth proportional to 3,816.52, 5,724.86 and 1,625.64 is: 2,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.52 : 5,724.86 = 1,625.64 : x
  2. Step 2: Convert to fraction form
    3,816.52/5,724.86 = 1,625.64/x
  3. Step 3: Cross multiply
    3,816.52x = 5,724.86 × 1,625.64
  4. Step 4: Simplify right side
    3,816.52x = 9,306,561.41
  5. Step 5: Solve for x
    x = 9,306,561.41/3,816.52
  6. Step 6: Final answer
    x = 2,438.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.