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Finding the Fourth Proportional to 3,230.36, 4,846.38 and 921.86

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Solution

The fourth proportional to 3,230.36, 4,846.38 and 921.86 is: 1,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.36 : 4,846.38 = 921.86 : x
  2. Step 2: Convert to fraction form
    3,230.36/4,846.38 = 921.86/x
  3. Step 3: Cross multiply
    3,230.36x = 4,846.38 × 921.86
  4. Step 4: Simplify right side
    3,230.36x = 4,467,683.87
  5. Step 5: Solve for x
    x = 4,467,683.87/3,230.36
  6. Step 6: Final answer
    x = 1,383.03

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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.