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Finding the Fourth Proportional to 4,729.97, 7,094.35 and 1,609.99

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Solution

The fourth proportional to 4,729.97, 7,094.35 and 1,609.99 is: 2,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.97 : 7,094.35 = 1,609.99 : x
  2. Step 2: Convert to fraction form
    4,729.97/7,094.35 = 1,609.99/x
  3. Step 3: Cross multiply
    4,729.97x = 7,094.35 × 1,609.99
  4. Step 4: Simplify right side
    4,729.97x = 11,421,832.56
  5. Step 5: Solve for x
    x = 11,421,832.56/4,729.97
  6. Step 6: Final answer
    x = 2,414.78

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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.