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Finding the Fourth Proportional to 6,578.49, 9,078.33 and 3,594.39

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Solution

The fourth proportional to 6,578.49, 9,078.33 and 3,594.39 is: 4,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.49 : 9,078.33 = 3,594.39 : x
  2. Step 2: Convert to fraction form
    6,578.49/9,078.33 = 3,594.39/x
  3. Step 3: Cross multiply
    6,578.49x = 9,078.33 × 3,594.39
  4. Step 4: Simplify right side
    6,578.49x = 32,631,058.57
  5. Step 5: Solve for x
    x = 32,631,058.57/6,578.49
  6. Step 6: Final answer
    x = 4,960.27

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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.