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Finding the Fourth Proportional to 3,231.58, 4,847.42 and 1,040.32

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Solution

The fourth proportional to 3,231.58, 4,847.42 and 1,040.32 is: 1,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.58 : 4,847.42 = 1,040.32 : x
  2. Step 2: Convert to fraction form
    3,231.58/4,847.42 = 1,040.32/x
  3. Step 3: Cross multiply
    3,231.58x = 4,847.42 × 1,040.32
  4. Step 4: Simplify right side
    3,231.58x = 5,042,838.54
  5. Step 5: Solve for x
    x = 5,042,838.54/3,231.58
  6. Step 6: Final answer
    x = 1,560.49

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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.