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Finding the Fourth Proportional to 3,899.21, 5,849.62 and 1,433.93

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Solution

The fourth proportional to 3,899.21, 5,849.62 and 1,433.93 is: 2,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.21 : 5,849.62 = 1,433.93 : x
  2. Step 2: Convert to fraction form
    3,899.21/5,849.62 = 1,433.93/x
  3. Step 3: Cross multiply
    3,899.21x = 5,849.62 × 1,433.93
  4. Step 4: Simplify right side
    3,899.21x = 8,387,912.77
  5. Step 5: Solve for x
    x = 8,387,912.77/3,899.21
  6. Step 6: Final answer
    x = 2,151.19

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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.