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Finding the Fourth Proportional to 4,916.92, 6,785.54 and 2,821.44

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Solution

The fourth proportional to 4,916.92, 6,785.54 and 2,821.44 is: 3,893.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.92 : 6,785.54 = 2,821.44 : x
  2. Step 2: Convert to fraction form
    4,916.92/6,785.54 = 2,821.44/x
  3. Step 3: Cross multiply
    4,916.92x = 6,785.54 × 2,821.44
  4. Step 4: Simplify right side
    4,916.92x = 19,144,993.98
  5. Step 5: Solve for x
    x = 19,144,993.98/4,916.92
  6. Step 6: Final answer
    x = 3,893.70

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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.