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Finding the Fourth Proportional to 3,685.88, 5,086.65 and 2,007.21

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Solution

The fourth proportional to 3,685.88, 5,086.65 and 2,007.21 is: 2,770.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.88 : 5,086.65 = 2,007.21 : x
  2. Step 2: Convert to fraction form
    3,685.88/5,086.65 = 2,007.21/x
  3. Step 3: Cross multiply
    3,685.88x = 5,086.65 × 2,007.21
  4. Step 4: Simplify right side
    3,685.88x = 10,209,947.14
  5. Step 5: Solve for x
    x = 10,209,947.14/3,685.88
  6. Step 6: Final answer
    x = 2,770.02

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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.