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Finding the Fourth Proportional to 3,969.76, 5,955.97 and 1,505.27

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Solution

The fourth proportional to 3,969.76, 5,955.97 and 1,505.27 is: 2,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.76 : 5,955.97 = 1,505.27 : x
  2. Step 2: Convert to fraction form
    3,969.76/5,955.97 = 1,505.27/x
  3. Step 3: Cross multiply
    3,969.76x = 5,955.97 × 1,505.27
  4. Step 4: Simplify right side
    3,969.76x = 8,965,309.42
  5. Step 5: Solve for x
    x = 8,965,309.42/3,969.76
  6. Step 6: Final answer
    x = 2,258.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.