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Finding the Fourth Proportional to 5,564.72, 8,339.96 and 2,274

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Solution

The fourth proportional to 5,564.72, 8,339.96 and 2,274 is: 3,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.72 : 8,339.96 = 2,274 : x
  2. Step 2: Convert to fraction form
    5,564.72/8,339.96 = 2,274/x
  3. Step 3: Cross multiply
    5,564.72x = 8,339.96 × 2,274
  4. Step 4: Simplify right side
    5,564.72x = 18,965,069.04
  5. Step 5: Solve for x
    x = 18,965,069.04/5,564.72
  6. Step 6: Final answer
    x = 3,408.09

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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.