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Finding the Fourth Proportional to 3,788.98, 5,683.44 and 1,480.48

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Solution

The fourth proportional to 3,788.98, 5,683.44 and 1,480.48 is: 2,220.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.98 : 5,683.44 = 1,480.48 : x
  2. Step 2: Convert to fraction form
    3,788.98/5,683.44 = 1,480.48/x
  3. Step 3: Cross multiply
    3,788.98x = 5,683.44 × 1,480.48
  4. Step 4: Simplify right side
    3,788.98x = 8,414,219.25
  5. Step 5: Solve for x
    x = 8,414,219.25/3,788.98
  6. Step 6: Final answer
    x = 2,220.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.