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Finding the Fourth Proportional to 3,940.49, 5,909.26 and 1,307.51

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Solution

The fourth proportional to 3,940.49, 5,909.26 and 1,307.51 is: 1,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.49 : 5,909.26 = 1,307.51 : x
  2. Step 2: Convert to fraction form
    3,940.49/5,909.26 = 1,307.51/x
  3. Step 3: Cross multiply
    3,940.49x = 5,909.26 × 1,307.51
  4. Step 4: Simplify right side
    3,940.49x = 7,726,416.54
  5. Step 5: Solve for x
    x = 7,726,416.54/3,940.49
  6. Step 6: Final answer
    x = 1,960.78

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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.