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Finding the Fourth Proportional to 3,828.86, 5,285.22 and 2,258.27

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Solution

The fourth proportional to 3,828.86, 5,285.22 and 2,258.27 is: 3,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.86 : 5,285.22 = 2,258.27 : x
  2. Step 2: Convert to fraction form
    3,828.86/5,285.22 = 2,258.27/x
  3. Step 3: Cross multiply
    3,828.86x = 5,285.22 × 2,258.27
  4. Step 4: Simplify right side
    3,828.86x = 11,935,453.77
  5. Step 5: Solve for x
    x = 11,935,453.77/3,828.86
  6. Step 6: Final answer
    x = 3,117.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.