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Finding the Fourth Proportional to 5,682.38, 8,522.64 and 4,033.94

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Solution

The fourth proportional to 5,682.38, 8,522.64 and 4,033.94 is: 6,050.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.38 : 8,522.64 = 4,033.94 : x
  2. Step 2: Convert to fraction form
    5,682.38/8,522.64 = 4,033.94/x
  3. Step 3: Cross multiply
    5,682.38x = 8,522.64 × 4,033.94
  4. Step 4: Simplify right side
    5,682.38x = 34,379,775.79
  5. Step 5: Solve for x
    x = 34,379,775.79/5,682.38
  6. Step 6: Final answer
    x = 6,050.25

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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.