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Finding the Fourth Proportional to 2,964.71, 4,088.22 and 2,546.44

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Solution

The fourth proportional to 2,964.71, 4,088.22 and 2,546.44 is: 3,511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.71 : 4,088.22 = 2,546.44 : x
  2. Step 2: Convert to fraction form
    2,964.71/4,088.22 = 2,546.44/x
  3. Step 3: Cross multiply
    2,964.71x = 4,088.22 × 2,546.44
  4. Step 4: Simplify right side
    2,964.71x = 10,410,406.94
  5. Step 5: Solve for x
    x = 10,410,406.94/2,964.71
  6. Step 6: Final answer
    x = 3,511.44

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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.