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Finding the Fourth Proportional to 3,940.85, 5,909.76 and 1,307.56

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Solution

The fourth proportional to 3,940.85, 5,909.76 and 1,307.56 is: 1,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.85 : 5,909.76 = 1,307.56 : x
  2. Step 2: Convert to fraction form
    3,940.85/5,909.76 = 1,307.56/x
  3. Step 3: Cross multiply
    3,940.85x = 5,909.76 × 1,307.56
  4. Step 4: Simplify right side
    3,940.85x = 7,727,365.79
  5. Step 5: Solve for x
    x = 7,727,365.79/3,940.85
  6. Step 6: Final answer
    x = 1,960.84

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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.