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Finding the Fourth Proportional to 5,536.95, 8,308.82 and 2,206.80

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Solution

The fourth proportional to 5,536.95, 8,308.82 and 2,206.80 is: 3,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.95 : 8,308.82 = 2,206.80 : x
  2. Step 2: Convert to fraction form
    5,536.95/8,308.82 = 2,206.80/x
  3. Step 3: Cross multiply
    5,536.95x = 8,308.82 × 2,206.80
  4. Step 4: Simplify right side
    5,536.95x = 18,335,916.07
  5. Step 5: Solve for x
    x = 18,335,916.07/5,536.95
  6. Step 6: Final answer
    x = 3,311.55

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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.