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Finding the Fourth Proportional to 4,185.64, 5,776.10 and 2,297.16

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Solution

The fourth proportional to 4,185.64, 5,776.10 and 2,297.16 is: 3,170.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.64 : 5,776.10 = 2,297.16 : x
  2. Step 2: Convert to fraction form
    4,185.64/5,776.10 = 2,297.16/x
  3. Step 3: Cross multiply
    4,185.64x = 5,776.10 × 2,297.16
  4. Step 4: Simplify right side
    4,185.64x = 13,268,625.88
  5. Step 5: Solve for x
    x = 13,268,625.88/4,185.64
  6. Step 6: Final answer
    x = 3,170.04

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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.