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Finding the Fourth Proportional to 5,683.96, 7,843.53 and 3,325.78

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Solution

The fourth proportional to 5,683.96, 7,843.53 and 3,325.78 is: 4,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.96 : 7,843.53 = 3,325.78 : x
  2. Step 2: Convert to fraction form
    5,683.96/7,843.53 = 3,325.78/x
  3. Step 3: Cross multiply
    5,683.96x = 7,843.53 × 3,325.78
  4. Step 4: Simplify right side
    5,683.96x = 26,085,855.20
  5. Step 5: Solve for x
    x = 26,085,855.20/5,683.96
  6. Step 6: Final answer
    x = 4,589.38

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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.