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Finding the Fourth Proportional to 3,484.38, 5,225.97 and 1,144.43

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Solution

The fourth proportional to 3,484.38, 5,225.97 and 1,144.43 is: 1,716.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.38 : 5,225.97 = 1,144.43 : x
  2. Step 2: Convert to fraction form
    3,484.38/5,225.97 = 1,144.43/x
  3. Step 3: Cross multiply
    3,484.38x = 5,225.97 × 1,144.43
  4. Step 4: Simplify right side
    3,484.38x = 5,980,756.85
  5. Step 5: Solve for x
    x = 5,980,756.85/3,484.38
  6. Step 6: Final answer
    x = 1,716.45

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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.