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Finding the Fourth Proportional to 3,683.90, 5,083.84 and 2,005.36

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Solution

The fourth proportional to 3,683.90, 5,083.84 and 2,005.36 is: 2,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.90 : 5,083.84 = 2,005.36 : x
  2. Step 2: Convert to fraction form
    3,683.90/5,083.84 = 2,005.36/x
  3. Step 3: Cross multiply
    3,683.90x = 5,083.84 × 2,005.36
  4. Step 4: Simplify right side
    3,683.90x = 10,194,929.38
  5. Step 5: Solve for x
    x = 10,194,929.38/3,683.90
  6. Step 6: Final answer
    x = 2,767.43

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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.