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Finding the Fourth Proportional to 6,083.98, 8,403.16 and 4,323.22

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Solution

The fourth proportional to 6,083.98, 8,403.16 and 4,323.22 is: 5,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.98 : 8,403.16 = 4,323.22 : x
  2. Step 2: Convert to fraction form
    6,083.98/8,403.16 = 4,323.22/x
  3. Step 3: Cross multiply
    6,083.98x = 8,403.16 × 4,323.22
  4. Step 4: Simplify right side
    6,083.98x = 36,328,709.38
  5. Step 5: Solve for x
    x = 36,328,709.38/6,083.98
  6. Step 6: Final answer
    x = 5,971.21

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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.