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Finding the Fourth Proportional to 3,928.72, 5,889.38 and 1,329.84

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Solution

The fourth proportional to 3,928.72, 5,889.38 and 1,329.84 is: 1,993.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.72 : 5,889.38 = 1,329.84 : x
  2. Step 2: Convert to fraction form
    3,928.72/5,889.38 = 1,329.84/x
  3. Step 3: Cross multiply
    3,928.72x = 5,889.38 × 1,329.84
  4. Step 4: Simplify right side
    3,928.72x = 7,831,933.10
  5. Step 5: Solve for x
    x = 7,831,933.10/3,928.72
  6. Step 6: Final answer
    x = 1,993.51

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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.