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Finding the Fourth Proportional to 3,823.37, 5,727.24 and 2,258.66

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Solution

The fourth proportional to 3,823.37, 5,727.24 and 2,258.66 is: 3,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.37 : 5,727.24 = 2,258.66 : x
  2. Step 2: Convert to fraction form
    3,823.37/5,727.24 = 2,258.66/x
  3. Step 3: Cross multiply
    3,823.37x = 5,727.24 × 2,258.66
  4. Step 4: Simplify right side
    3,823.37x = 12,935,859.26
  5. Step 5: Solve for x
    x = 12,935,859.26/3,823.37
  6. Step 6: Final answer
    x = 3,383.36

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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.