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Finding the Fourth Proportional to 5,814.88, 8,028.68 and 3,579.76

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Solution

The fourth proportional to 5,814.88, 8,028.68 and 3,579.76 is: 4,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.88 : 8,028.68 = 3,579.76 : x
  2. Step 2: Convert to fraction form
    5,814.88/8,028.68 = 3,579.76/x
  3. Step 3: Cross multiply
    5,814.88x = 8,028.68 × 3,579.76
  4. Step 4: Simplify right side
    5,814.88x = 28,740,747.52
  5. Step 5: Solve for x
    x = 28,740,747.52/5,814.88
  6. Step 6: Final answer
    x = 4,942.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.