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Finding the Fourth Proportional to 3,516.92, 4,853.33 and 1,945

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Solution

The fourth proportional to 3,516.92, 4,853.33 and 1,945 is: 2,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.92 : 4,853.33 = 1,945 : x
  2. Step 2: Convert to fraction form
    3,516.92/4,853.33 = 1,945/x
  3. Step 3: Cross multiply
    3,516.92x = 4,853.33 × 1,945
  4. Step 4: Simplify right side
    3,516.92x = 9,439,717.13
  5. Step 5: Solve for x
    x = 9,439,717.13/3,516.92
  6. Step 6: Final answer
    x = 2,684.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.