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Finding the Fourth Proportional to 5,393.09, 8,083.87 and 3,849.41

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Solution

The fourth proportional to 5,393.09, 8,083.87 and 3,849.41 is: 5,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.09 : 8,083.87 = 3,849.41 : x
  2. Step 2: Convert to fraction form
    5,393.09/8,083.87 = 3,849.41/x
  3. Step 3: Cross multiply
    5,393.09x = 8,083.87 × 3,849.41
  4. Step 4: Simplify right side
    5,393.09x = 31,118,130.02
  5. Step 5: Solve for x
    x = 31,118,130.02/5,393.09
  6. Step 6: Final answer
    x = 5,770.00

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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.