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Finding the Fourth Proportional to 3,077.64, 4,616.22 and 2,717.64

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Solution

The fourth proportional to 3,077.64, 4,616.22 and 2,717.64 is: 4,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.64 : 4,616.22 = 2,717.64 : x
  2. Step 2: Convert to fraction form
    3,077.64/4,616.22 = 2,717.64/x
  3. Step 3: Cross multiply
    3,077.64x = 4,616.22 × 2,717.64
  4. Step 4: Simplify right side
    3,077.64x = 12,545,224.12
  5. Step 5: Solve for x
    x = 12,545,224.12/3,077.64
  6. Step 6: Final answer
    x = 4,076.25

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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.