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Finding the Fourth Proportional to 3,231.81, 4,812.93 and 3,122.46

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Solution

The fourth proportional to 3,231.81, 4,812.93 and 3,122.46 is: 4,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.81 : 4,812.93 = 3,122.46 : x
  2. Step 2: Convert to fraction form
    3,231.81/4,812.93 = 3,122.46/x
  3. Step 3: Cross multiply
    3,231.81x = 4,812.93 × 3,122.46
  4. Step 4: Simplify right side
    3,231.81x = 15,028,181.41
  5. Step 5: Solve for x
    x = 15,028,181.41/3,231.81
  6. Step 6: Final answer
    x = 4,650.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.