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Finding the Fourth Proportional to 5,683.38, 7,843.06 and 3,199.38

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Solution

The fourth proportional to 5,683.38, 7,843.06 and 3,199.38 is: 4,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.38 : 7,843.06 = 3,199.38 : x
  2. Step 2: Convert to fraction form
    5,683.38/7,843.06 = 3,199.38/x
  3. Step 3: Cross multiply
    5,683.38x = 7,843.06 × 3,199.38
  4. Step 4: Simplify right side
    5,683.38x = 25,092,929.30
  5. Step 5: Solve for x
    x = 25,092,929.30/5,683.38
  6. Step 6: Final answer
    x = 4,415.14

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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.