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Finding the Fourth Proportional to 3,484.37, 5,226.84 and 1,144.32

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Solution

The fourth proportional to 3,484.37, 5,226.84 and 1,144.32 is: 1,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.37 : 5,226.84 = 1,144.32 : x
  2. Step 2: Convert to fraction form
    3,484.37/5,226.84 = 1,144.32/x
  3. Step 3: Cross multiply
    3,484.37x = 5,226.84 × 1,144.32
  4. Step 4: Simplify right side
    3,484.37x = 5,981,177.55
  5. Step 5: Solve for x
    x = 5,981,177.55/3,484.37
  6. Step 6: Final answer
    x = 1,716.58

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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.