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Finding the Fourth Proportional to 4,185.72, 5,776.03 and 2,297.20

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Solution

The fourth proportional to 4,185.72, 5,776.03 and 2,297.20 is: 3,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.72 : 5,776.03 = 2,297.20 : x
  2. Step 2: Convert to fraction form
    4,185.72/5,776.03 = 2,297.20/x
  3. Step 3: Cross multiply
    4,185.72x = 5,776.03 × 2,297.20
  4. Step 4: Simplify right side
    4,185.72x = 13,268,696.12
  5. Step 5: Solve for x
    x = 13,268,696.12/4,185.72
  6. Step 6: Final answer
    x = 3,169.99

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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.