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Finding the Fourth Proportional to 4,256.06, 6,371.94 and 3,284.06

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Solution

The fourth proportional to 4,256.06, 6,371.94 and 3,284.06 is: 4,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.06 : 6,371.94 = 3,284.06 : x
  2. Step 2: Convert to fraction form
    4,256.06/6,371.94 = 3,284.06/x
  3. Step 3: Cross multiply
    4,256.06x = 6,371.94 × 3,284.06
  4. Step 4: Simplify right side
    4,256.06x = 20,925,833.28
  5. Step 5: Solve for x
    x = 20,925,833.28/4,256.06
  6. Step 6: Final answer
    x = 4,916.71

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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.