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Finding the Fourth Proportional to 4,761.81, 7,138.01 and 2,258.61

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Solution

The fourth proportional to 4,761.81, 7,138.01 and 2,258.61 is: 3,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.81 : 7,138.01 = 2,258.61 : x
  2. Step 2: Convert to fraction form
    4,761.81/7,138.01 = 2,258.61/x
  3. Step 3: Cross multiply
    4,761.81x = 7,138.01 × 2,258.61
  4. Step 4: Simplify right side
    4,761.81x = 16,121,976.54
  5. Step 5: Solve for x
    x = 16,121,976.54/4,761.81
  6. Step 6: Final answer
    x = 3,385.68

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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.