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Finding the Fourth Proportional to 4,662.28, 6,433.86 and 2,566.44

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Solution

The fourth proportional to 4,662.28, 6,433.86 and 2,566.44 is: 3,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.28 : 6,433.86 = 2,566.44 : x
  2. Step 2: Convert to fraction form
    4,662.28/6,433.86 = 2,566.44/x
  3. Step 3: Cross multiply
    4,662.28x = 6,433.86 × 2,566.44
  4. Step 4: Simplify right side
    4,662.28x = 16,512,115.66
  5. Step 5: Solve for x
    x = 16,512,115.66/4,662.28
  6. Step 6: Final answer
    x = 3,541.64

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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.