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Finding the Fourth Proportional to 5,506.71, 8,268.27 and 2,226.21

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Solution

The fourth proportional to 5,506.71, 8,268.27 and 2,226.21 is: 3,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.71 : 8,268.27 = 2,226.21 : x
  2. Step 2: Convert to fraction form
    5,506.71/8,268.27 = 2,226.21/x
  3. Step 3: Cross multiply
    5,506.71x = 8,268.27 × 2,226.21
  4. Step 4: Simplify right side
    5,506.71x = 18,406,897.01
  5. Step 5: Solve for x
    x = 18,406,897.01/5,506.71
  6. Step 6: Final answer
    x = 3,342.63

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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.