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Finding the Fourth Proportional to 3,899, 5,849.14 and 1,302.56

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Solution

The fourth proportional to 3,899, 5,849.14 and 1,302.56 is: 1,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899 : 5,849.14 = 1,302.56 : x
  2. Step 2: Convert to fraction form
    3,899/5,849.14 = 1,302.56/x
  3. Step 3: Cross multiply
    3,899x = 5,849.14 × 1,302.56
  4. Step 4: Simplify right side
    3,899x = 7,618,855.80
  5. Step 5: Solve for x
    x = 7,618,855.80/3,899
  6. Step 6: Final answer
    x = 1,954.05

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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.