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Finding the Fourth Proportional to 5,523.42, 8,284.86 and 4,912.68

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Solution

The fourth proportional to 5,523.42, 8,284.86 and 4,912.68 is: 7,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.42 : 8,284.86 = 4,912.68 : x
  2. Step 2: Convert to fraction form
    5,523.42/8,284.86 = 4,912.68/x
  3. Step 3: Cross multiply
    5,523.42x = 8,284.86 × 4,912.68
  4. Step 4: Simplify right side
    5,523.42x = 40,700,866.02
  5. Step 5: Solve for x
    x = 40,700,866.02/5,523.42
  6. Step 6: Final answer
    x = 7,368.78

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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.