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Finding the Fourth Proportional to 5,135.36, 7,083.60 and 3,038

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Solution

The fourth proportional to 5,135.36, 7,083.60 and 3,038 is: 4,190.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.36 : 7,083.60 = 3,038 : x
  2. Step 2: Convert to fraction form
    5,135.36/7,083.60 = 3,038/x
  3. Step 3: Cross multiply
    5,135.36x = 7,083.60 × 3,038
  4. Step 4: Simplify right side
    5,135.36x = 21,519,976.80
  5. Step 5: Solve for x
    x = 21,519,976.80/5,135.36
  6. Step 6: Final answer
    x = 4,190.55

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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.