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Finding the Fourth Proportional to 3,684.58, 5,084.67 and 2,006.00

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Solution

The fourth proportional to 3,684.58, 5,084.67 and 2,006.00 is: 2,768.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.58 : 5,084.67 = 2,006.00 : x
  2. Step 2: Convert to fraction form
    3,684.58/5,084.67 = 2,006.00/x
  3. Step 3: Cross multiply
    3,684.58x = 5,084.67 × 2,006.00
  4. Step 4: Simplify right side
    3,684.58x = 10,199,860.73
  5. Step 5: Solve for x
    x = 10,199,860.73/3,684.58
  6. Step 6: Final answer
    x = 2,768.26

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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.