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Finding the Fourth Proportional to 5,522.74, 8,284.11 and 5,184.82

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Solution

The fourth proportional to 5,522.74, 8,284.11 and 5,184.82 is: 7,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,522.74 : 8,284.11 = 5,184.82 : x
  2. Step 2: Convert to fraction form
    5,522.74/8,284.11 = 5,184.82/x
  3. Step 3: Cross multiply
    5,522.74x = 8,284.11 × 5,184.82
  4. Step 4: Simplify right side
    5,522.74x = 42,951,619.21
  5. Step 5: Solve for x
    x = 42,951,619.21/5,522.74
  6. Step 6: Final answer
    x = 7,777.23

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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.