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Finding the Fourth Proportional to 3,722.94, 5,578.92 and 2,944.98

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Solution

The fourth proportional to 3,722.94, 5,578.92 and 2,944.98 is: 4,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.94 : 5,578.92 = 2,944.98 : x
  2. Step 2: Convert to fraction form
    3,722.94/5,578.92 = 2,944.98/x
  3. Step 3: Cross multiply
    3,722.94x = 5,578.92 × 2,944.98
  4. Step 4: Simplify right side
    3,722.94x = 16,429,807.82
  5. Step 5: Solve for x
    x = 16,429,807.82/3,722.94
  6. Step 6: Final answer
    x = 4,413.13

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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.