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Finding the Fourth Proportional to 4,723.98, 7,085 and 4,489.80

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Solution

The fourth proportional to 4,723.98, 7,085 and 4,489.80 is: 6,733.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.98 : 7,085 = 4,489.80 : x
  2. Step 2: Convert to fraction form
    4,723.98/7,085 = 4,489.80/x
  3. Step 3: Cross multiply
    4,723.98x = 7,085 × 4,489.80
  4. Step 4: Simplify right side
    4,723.98x = 31,810,233
  5. Step 5: Solve for x
    x = 31,810,233/4,723.98
  6. Step 6: Final answer
    x = 6,733.78

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