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Finding the Fourth Proportional to 3,825.42, 5,733.51 and 3,322.54

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Solution

The fourth proportional to 3,825.42, 5,733.51 and 3,322.54 is: 4,979.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.42 : 5,733.51 = 3,322.54 : x
  2. Step 2: Convert to fraction form
    3,825.42/5,733.51 = 3,322.54/x
  3. Step 3: Cross multiply
    3,825.42x = 5,733.51 × 3,322.54
  4. Step 4: Simplify right side
    3,825.42x = 19,049,816.32
  5. Step 5: Solve for x
    x = 19,049,816.32/3,825.42
  6. Step 6: Final answer
    x = 4,979.80

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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.