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Finding the Fourth Proportional to 5,433.40, 8,149.83 and 1,922.32

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Solution

The fourth proportional to 5,433.40, 8,149.83 and 1,922.32 is: 2,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,433.40 : 8,149.83 = 1,922.32 : x
  2. Step 2: Convert to fraction form
    5,433.40/8,149.83 = 1,922.32/x
  3. Step 3: Cross multiply
    5,433.40x = 8,149.83 × 1,922.32
  4. Step 4: Simplify right side
    5,433.40x = 15,666,581.21
  5. Step 5: Solve for x
    x = 15,666,581.21/5,433.40
  6. Step 6: Final answer
    x = 2,883.38

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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.