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Finding the Fourth Proportional to 3,685.41, 5,085.95 and 2,006.82

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Solution

The fourth proportional to 3,685.41, 5,085.95 and 2,006.82 is: 2,769.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.41 : 5,085.95 = 2,006.82 : x
  2. Step 2: Convert to fraction form
    3,685.41/5,085.95 = 2,006.82/x
  3. Step 3: Cross multiply
    3,685.41x = 5,085.95 × 2,006.82
  4. Step 4: Simplify right side
    3,685.41x = 10,206,576.14
  5. Step 5: Solve for x
    x = 10,206,576.14/3,685.41
  6. Step 6: Final answer
    x = 2,769.45

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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.