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Finding the Fourth Proportional to 4,413.76, 6,089.78 and 2,842.76

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Solution

The fourth proportional to 4,413.76, 6,089.78 and 2,842.76 is: 3,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,413.76 : 6,089.78 = 2,842.76 : x
  2. Step 2: Convert to fraction form
    4,413.76/6,089.78 = 2,842.76/x
  3. Step 3: Cross multiply
    4,413.76x = 6,089.78 × 2,842.76
  4. Step 4: Simplify right side
    4,413.76x = 17,311,805.32
  5. Step 5: Solve for x
    x = 17,311,805.32/4,413.76
  6. Step 6: Final answer
    x = 3,922.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.