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Finding the Fourth Proportional to 3,899.12, 5,849.30 and 1,433.40

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Solution

The fourth proportional to 3,899.12, 5,849.30 and 1,433.40 is: 2,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.12 : 5,849.30 = 1,433.40 : x
  2. Step 2: Convert to fraction form
    3,899.12/5,849.30 = 1,433.40/x
  3. Step 3: Cross multiply
    3,899.12x = 5,849.30 × 1,433.40
  4. Step 4: Simplify right side
    3,899.12x = 8,384,386.62
  5. Step 5: Solve for x
    x = 8,384,386.62/3,899.12
  6. Step 6: Final answer
    x = 2,150.33

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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.