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Finding the Fourth Proportional to 3,683.79, 5,083.77 and 2,005.29

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Solution

The fourth proportional to 3,683.79, 5,083.77 and 2,005.29 is: 2,767.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.79 : 5,083.77 = 2,005.29 : x
  2. Step 2: Convert to fraction form
    3,683.79/5,083.77 = 2,005.29/x
  3. Step 3: Cross multiply
    3,683.79x = 5,083.77 × 2,005.29
  4. Step 4: Simplify right side
    3,683.79x = 10,194,433.14
  5. Step 5: Solve for x
    x = 10,194,433.14/3,683.79
  6. Step 6: Final answer
    x = 2,767.38

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1.5x scale

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.