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Finding the Fourth Proportional to 4,155.92, 5,735.70 and 2,584.22

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Solution

The fourth proportional to 4,155.92, 5,735.70 and 2,584.22 is: 3,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.92 : 5,735.70 = 2,584.22 : x
  2. Step 2: Convert to fraction form
    4,155.92/5,735.70 = 2,584.22/x
  3. Step 3: Cross multiply
    4,155.92x = 5,735.70 × 2,584.22
  4. Step 4: Simplify right side
    4,155.92x = 14,822,310.65
  5. Step 5: Solve for x
    x = 14,822,310.65/4,155.92
  6. Step 6: Final answer
    x = 3,566.55

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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.