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Finding the Fourth Proportional to 3,447.80, 5,172.84 and 1,108.16

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Solution

The fourth proportional to 3,447.80, 5,172.84 and 1,108.16 is: 1,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.80 : 5,172.84 = 1,108.16 : x
  2. Step 2: Convert to fraction form
    3,447.80/5,172.84 = 1,108.16/x
  3. Step 3: Cross multiply
    3,447.80x = 5,172.84 × 1,108.16
  4. Step 4: Simplify right side
    3,447.80x = 5,732,334.37
  5. Step 5: Solve for x
    x = 5,732,334.37/3,447.80
  6. Step 6: Final answer
    x = 1,662.61

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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.