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Finding the Fourth Proportional to 3,927.98, 5,891.88 and 1,006.54

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Solution

The fourth proportional to 3,927.98, 5,891.88 and 1,006.54 is: 1,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.98 : 5,891.88 = 1,006.54 : x
  2. Step 2: Convert to fraction form
    3,927.98/5,891.88 = 1,006.54/x
  3. Step 3: Cross multiply
    3,927.98x = 5,891.88 × 1,006.54
  4. Step 4: Simplify right side
    3,927.98x = 5,930,412.90
  5. Step 5: Solve for x
    x = 5,930,412.90/3,927.98
  6. Step 6: Final answer
    x = 1,509.79

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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.