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Finding the Fourth Proportional to 3,282.41, 4,889.04 and 3,214.05

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Solution

The fourth proportional to 3,282.41, 4,889.04 and 3,214.05 is: 4,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.41 : 4,889.04 = 3,214.05 : x
  2. Step 2: Convert to fraction form
    3,282.41/4,889.04 = 3,214.05/x
  3. Step 3: Cross multiply
    3,282.41x = 4,889.04 × 3,214.05
  4. Step 4: Simplify right side
    3,282.41x = 15,713,619.01
  5. Step 5: Solve for x
    x = 15,713,619.01/3,282.41
  6. Step 6: Final answer
    x = 4,787.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.