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Finding the Fourth Proportional to 3,899.34, 5,849.31 and 1,265.83

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Solution

The fourth proportional to 3,899.34, 5,849.31 and 1,265.83 is: 1,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.34 : 5,849.31 = 1,265.83 : x
  2. Step 2: Convert to fraction form
    3,899.34/5,849.31 = 1,265.83/x
  3. Step 3: Cross multiply
    3,899.34x = 5,849.31 × 1,265.83
  4. Step 4: Simplify right side
    3,899.34x = 7,404,222.20
  5. Step 5: Solve for x
    x = 7,404,222.20/3,899.34
  6. Step 6: Final answer
    x = 1,898.84

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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.