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Finding the Fourth Proportional to 3,685.71, 5,086.29 and 2,007.14

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Solution

The fourth proportional to 3,685.71, 5,086.29 and 2,007.14 is: 2,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.71 : 5,086.29 = 2,007.14 : x
  2. Step 2: Convert to fraction form
    3,685.71/5,086.29 = 2,007.14/x
  3. Step 3: Cross multiply
    3,685.71x = 5,086.29 × 2,007.14
  4. Step 4: Simplify right side
    3,685.71x = 10,208,870.68
  5. Step 5: Solve for x
    x = 10,208,870.68/3,685.71
  6. Step 6: Final answer
    x = 2,769.85

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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.