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Finding the Fourth Proportional to 3,226.86, 4,838.13 and 1,494.54

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Solution

The fourth proportional to 3,226.86, 4,838.13 and 1,494.54 is: 2,240.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.86 : 4,838.13 = 1,494.54 : x
  2. Step 2: Convert to fraction form
    3,226.86/4,838.13 = 1,494.54/x
  3. Step 3: Cross multiply
    3,226.86x = 4,838.13 × 1,494.54
  4. Step 4: Simplify right side
    3,226.86x = 7,230,778.81
  5. Step 5: Solve for x
    x = 7,230,778.81/3,226.86
  6. Step 6: Final answer
    x = 2,240.81

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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.