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Finding the Fourth Proportional to 3,944.69, 5,915.75 and 1,311.49

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Solution

The fourth proportional to 3,944.69, 5,915.75 and 1,311.49 is: 1,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.69 : 5,915.75 = 1,311.49 : x
  2. Step 2: Convert to fraction form
    3,944.69/5,915.75 = 1,311.49/x
  3. Step 3: Cross multiply
    3,944.69x = 5,915.75 × 1,311.49
  4. Step 4: Simplify right side
    3,944.69x = 7,758,421.91
  5. Step 5: Solve for x
    x = 7,758,421.91/3,944.69
  6. Step 6: Final answer
    x = 1,966.80

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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.