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Finding the Fourth Proportional to 4,570.85, 6,857.03 and 1,796.04

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Solution

The fourth proportional to 4,570.85, 6,857.03 and 1,796.04 is: 2,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.85 : 6,857.03 = 1,796.04 : x
  2. Step 2: Convert to fraction form
    4,570.85/6,857.03 = 1,796.04/x
  3. Step 3: Cross multiply
    4,570.85x = 6,857.03 × 1,796.04
  4. Step 4: Simplify right side
    4,570.85x = 12,315,504.65
  5. Step 5: Solve for x
    x = 12,315,504.65/4,570.85
  6. Step 6: Final answer
    x = 2,694.36

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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.