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Finding the Fourth Proportional to 6,584.90, 9,078.27 and 4,222.94

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Solution

The fourth proportional to 6,584.90, 9,078.27 and 4,222.94 is: 5,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,584.90 : 9,078.27 = 4,222.94 : x
  2. Step 2: Convert to fraction form
    6,584.90/9,078.27 = 4,222.94/x
  3. Step 3: Cross multiply
    6,584.90x = 9,078.27 × 4,222.94
  4. Step 4: Simplify right side
    6,584.90x = 38,336,944.12
  5. Step 5: Solve for x
    x = 38,336,944.12/6,584.90
  6. Step 6: Final answer
    x = 5,821.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.