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Finding the Fourth Proportional to 5,494, 7,578.36 and 3,924.24

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Solution

The fourth proportional to 5,494, 7,578.36 and 3,924.24 is: 5,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494 : 7,578.36 = 3,924.24 : x
  2. Step 2: Convert to fraction form
    5,494/7,578.36 = 3,924.24/x
  3. Step 3: Cross multiply
    5,494x = 7,578.36 × 3,924.24
  4. Step 4: Simplify right side
    5,494x = 29,739,303.45
  5. Step 5: Solve for x
    x = 29,739,303.45/5,494
  6. Step 6: Final answer
    x = 5,413.05

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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.