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Finding the Fourth Proportional to 3,927.96, 5,891.96 and 1,006.28

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Solution

The fourth proportional to 3,927.96, 5,891.96 and 1,006.28 is: 1,509.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.96 : 5,891.96 = 1,006.28 : x
  2. Step 2: Convert to fraction form
    3,927.96/5,891.96 = 1,006.28/x
  3. Step 3: Cross multiply
    3,927.96x = 5,891.96 × 1,006.28
  4. Step 4: Simplify right side
    3,927.96x = 5,928,961.51
  5. Step 5: Solve for x
    x = 5,928,961.51/3,927.96
  6. Step 6: Final answer
    x = 1,509.43

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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.