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Finding the Fourth Proportional to 4,226.65, 5,829.22 and 3,166.90

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Solution

The fourth proportional to 4,226.65, 5,829.22 and 3,166.90 is: 4,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.65 : 5,829.22 = 3,166.90 : x
  2. Step 2: Convert to fraction form
    4,226.65/5,829.22 = 3,166.90/x
  3. Step 3: Cross multiply
    4,226.65x = 5,829.22 × 3,166.90
  4. Step 4: Simplify right side
    4,226.65x = 18,460,534.33
  5. Step 5: Solve for x
    x = 18,460,534.33/4,226.65
  6. Step 6: Final answer
    x = 4,367.65

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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.