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Finding the Fourth Proportional to 5,795.98, 8,693.98 and 1,413.44

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Solution

The fourth proportional to 5,795.98, 8,693.98 and 1,413.44 is: 2,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.98 : 8,693.98 = 1,413.44 : x
  2. Step 2: Convert to fraction form
    5,795.98/8,693.98 = 1,413.44/x
  3. Step 3: Cross multiply
    5,795.98x = 8,693.98 × 1,413.44
  4. Step 4: Simplify right side
    5,795.98x = 12,288,419.09
  5. Step 5: Solve for x
    x = 12,288,419.09/5,795.98
  6. Step 6: Final answer
    x = 2,120.16

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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.