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Finding the Fourth Proportional to 3,471.96, 5,163.32 and 3,362.58

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Solution

The fourth proportional to 3,471.96, 5,163.32 and 3,362.58 is: 5,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.96 : 5,163.32 = 3,362.58 : x
  2. Step 2: Convert to fraction form
    3,471.96/5,163.32 = 3,362.58/x
  3. Step 3: Cross multiply
    3,471.96x = 5,163.32 × 3,362.58
  4. Step 4: Simplify right side
    3,471.96x = 17,362,059.75
  5. Step 5: Solve for x
    x = 17,362,059.75/3,471.96
  6. Step 6: Final answer
    x = 5,000.65

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1.5x scale

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.