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Finding the Fourth Proportional to 5,578.38, 7,698.51 and 3,094.38

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Solution

The fourth proportional to 5,578.38, 7,698.51 and 3,094.38 is: 4,270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.38 : 7,698.51 = 3,094.38 : x
  2. Step 2: Convert to fraction form
    5,578.38/7,698.51 = 3,094.38/x
  3. Step 3: Cross multiply
    5,578.38x = 7,698.51 × 3,094.38
  4. Step 4: Simplify right side
    5,578.38x = 23,822,115.37
  5. Step 5: Solve for x
    x = 23,822,115.37/5,578.38
  6. Step 6: Final answer
    x = 4,270.44

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1.5x scale

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.