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Finding the Fourth Proportional to 3,484.61, 5,226.31 and 1,144.55

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Solution

The fourth proportional to 3,484.61, 5,226.31 and 1,144.55 is: 1,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.61 : 5,226.31 = 1,144.55 : x
  2. Step 2: Convert to fraction form
    3,484.61/5,226.31 = 1,144.55/x
  3. Step 3: Cross multiply
    3,484.61x = 5,226.31 × 1,144.55
  4. Step 4: Simplify right side
    3,484.61x = 5,981,773.11
  5. Step 5: Solve for x
    x = 5,981,773.11/3,484.61
  6. Step 6: Final answer
    x = 1,716.63

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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.