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Finding the Fourth Proportional to 3,685.54, 5,086.00 and 2,006.93

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Solution

The fourth proportional to 3,685.54, 5,086.00 and 2,006.93 is: 2,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.54 : 5,086.00 = 2,006.93 : x
  2. Step 2: Convert to fraction form
    3,685.54/5,086.00 = 2,006.93/x
  3. Step 3: Cross multiply
    3,685.54x = 5,086.00 × 2,006.93
  4. Step 4: Simplify right side
    3,685.54x = 10,207,235.95
  5. Step 5: Solve for x
    x = 10,207,235.95/3,685.54
  6. Step 6: Final answer
    x = 2,769.54

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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.