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Finding the Fourth Proportional to 3,800.69, 5,699.94 and 1,460.54

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Solution

The fourth proportional to 3,800.69, 5,699.94 and 1,460.54 is: 2,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.69 : 5,699.94 = 1,460.54 : x
  2. Step 2: Convert to fraction form
    3,800.69/5,699.94 = 1,460.54/x
  3. Step 3: Cross multiply
    3,800.69x = 5,699.94 × 1,460.54
  4. Step 4: Simplify right side
    3,800.69x = 8,324,961.87
  5. Step 5: Solve for x
    x = 8,324,961.87/3,800.69
  6. Step 6: Final answer
    x = 2,190.38

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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.