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Finding the Fourth Proportional to 3,416.80, 5,121.54 and 1,443.52

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Solution

The fourth proportional to 3,416.80, 5,121.54 and 1,443.52 is: 2,163.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.80 : 5,121.54 = 1,443.52 : x
  2. Step 2: Convert to fraction form
    3,416.80/5,121.54 = 1,443.52/x
  3. Step 3: Cross multiply
    3,416.80x = 5,121.54 × 1,443.52
  4. Step 4: Simplify right side
    3,416.80x = 7,393,045.42
  5. Step 5: Solve for x
    x = 7,393,045.42/3,416.80
  6. Step 6: Final answer
    x = 2,163.73

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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.