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Finding the Fourth Proportional to 5,331.94, 7,983.56 and 3,478.46

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Solution

The fourth proportional to 5,331.94, 7,983.56 and 3,478.46 is: 5,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,331.94 : 7,983.56 = 3,478.46 : x
  2. Step 2: Convert to fraction form
    5,331.94/7,983.56 = 3,478.46/x
  3. Step 3: Cross multiply
    5,331.94x = 7,983.56 × 3,478.46
  4. Step 4: Simplify right side
    5,331.94x = 27,770,494.12
  5. Step 5: Solve for x
    x = 27,770,494.12/5,331.94
  6. Step 6: Final answer
    x = 5,208.33

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1.5x scale

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.