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Finding the Fourth Proportional to 3,684.69, 5,083.56 and 2,111.87

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Solution

The fourth proportional to 3,684.69, 5,083.56 and 2,111.87 is: 2,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.69 : 5,083.56 = 2,111.87 : x
  2. Step 2: Convert to fraction form
    3,684.69/5,083.56 = 2,111.87/x
  3. Step 3: Cross multiply
    3,684.69x = 5,083.56 × 2,111.87
  4. Step 4: Simplify right side
    3,684.69x = 10,735,830.57
  5. Step 5: Solve for x
    x = 10,735,830.57/3,684.69
  6. Step 6: Final answer
    x = 2,913.63

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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.