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Finding the Fourth Proportional to 3,441.02, 5,161.44 and 843.98

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Solution

The fourth proportional to 3,441.02, 5,161.44 and 843.98 is: 1,265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.02 : 5,161.44 = 843.98 : x
  2. Step 2: Convert to fraction form
    3,441.02/5,161.44 = 843.98/x
  3. Step 3: Cross multiply
    3,441.02x = 5,161.44 × 843.98
  4. Step 4: Simplify right side
    3,441.02x = 4,356,152.13
  5. Step 5: Solve for x
    x = 4,356,152.13/3,441.02
  6. Step 6: Final answer
    x = 1,265.95

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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.