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Finding the Fourth Proportional to 4,713.96, 7,064.24 and 3,471.64

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Solution

The fourth proportional to 4,713.96, 7,064.24 and 3,471.64 is: 5,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.96 : 7,064.24 = 3,471.64 : x
  2. Step 2: Convert to fraction form
    4,713.96/7,064.24 = 3,471.64/x
  3. Step 3: Cross multiply
    4,713.96x = 7,064.24 × 3,471.64
  4. Step 4: Simplify right side
    4,713.96x = 24,524,498.15
  5. Step 5: Solve for x
    x = 24,524,498.15/4,713.96
  6. Step 6: Final answer
    x = 5,202.53

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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.