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Finding the Fourth Proportional to 4,693.86, 7,040.31 and 1,231.11

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Solution

The fourth proportional to 4,693.86, 7,040.31 and 1,231.11 is: 1,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.86 : 7,040.31 = 1,231.11 : x
  2. Step 2: Convert to fraction form
    4,693.86/7,040.31 = 1,231.11/x
  3. Step 3: Cross multiply
    4,693.86x = 7,040.31 × 1,231.11
  4. Step 4: Simplify right side
    4,693.86x = 8,667,396.04
  5. Step 5: Solve for x
    x = 8,667,396.04/4,693.86
  6. Step 6: Final answer
    x = 1,846.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.