Home / 5,202.90-7,804.39-2,083.18

Finding the Fourth Proportional to 5,202.90, 7,804.39 and 2,083.18

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Solution

The fourth proportional to 5,202.90, 7,804.39 and 2,083.18 is: 3,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.90 : 7,804.39 = 2,083.18 : x
  2. Step 2: Convert to fraction form
    5,202.90/7,804.39 = 2,083.18/x
  3. Step 3: Cross multiply
    5,202.90x = 7,804.39 × 2,083.18
  4. Step 4: Simplify right side
    5,202.90x = 16,257,910.14
  5. Step 5: Solve for x
    x = 16,257,910.14/5,202.90
  6. Step 6: Final answer
    x = 3,124.78

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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.