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Finding the Fourth Proportional to 6,047.09, 8,344.95 and 3,394.49

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Solution

The fourth proportional to 6,047.09, 8,344.95 and 3,394.49 is: 4,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.09 : 8,344.95 = 3,394.49 : x
  2. Step 2: Convert to fraction form
    6,047.09/8,344.95 = 3,394.49/x
  3. Step 3: Cross multiply
    6,047.09x = 8,344.95 × 3,394.49
  4. Step 4: Simplify right side
    6,047.09x = 28,326,849.33
  5. Step 5: Solve for x
    x = 28,326,849.33/6,047.09
  6. Step 6: Final answer
    x = 4,684.38

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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.