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Finding the Fourth Proportional to 5,924, 8,882.74 and 2,413.11

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Solution

The fourth proportional to 5,924, 8,882.74 and 2,413.11 is: 3,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924 : 8,882.74 = 2,413.11 : x
  2. Step 2: Convert to fraction form
    5,924/8,882.74 = 2,413.11/x
  3. Step 3: Cross multiply
    5,924x = 8,882.74 × 2,413.11
  4. Step 4: Simplify right side
    5,924x = 21,435,028.72
  5. Step 5: Solve for x
    x = 21,435,028.72/5,924
  6. Step 6: Final answer
    x = 3,618.34

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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.