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Finding the Fourth Proportional to 4,906.13, 7,363.81 and 1,789.15

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Solution

The fourth proportional to 4,906.13, 7,363.81 and 1,789.15 is: 2,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.13 : 7,363.81 = 1,789.15 : x
  2. Step 2: Convert to fraction form
    4,906.13/7,363.81 = 1,789.15/x
  3. Step 3: Cross multiply
    4,906.13x = 7,363.81 × 1,789.15
  4. Step 4: Simplify right side
    4,906.13x = 13,174,923.84
  5. Step 5: Solve for x
    x = 13,174,923.84/4,906.13
  6. Step 6: Final answer
    x = 2,685.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.