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Finding the Fourth Proportional to 4,916.70, 6,785.07 and 2,678.56

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Solution

The fourth proportional to 4,916.70, 6,785.07 and 2,678.56 is: 3,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916.70 : 6,785.07 = 2,678.56 : x
  2. Step 2: Convert to fraction form
    4,916.70/6,785.07 = 2,678.56/x
  3. Step 3: Cross multiply
    4,916.70x = 6,785.07 × 2,678.56
  4. Step 4: Simplify right side
    4,916.70x = 18,174,217.10
  5. Step 5: Solve for x
    x = 18,174,217.10/4,916.70
  6. Step 6: Final answer
    x = 3,696.43

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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.