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Finding the Fourth Proportional to 5,184.74, 7,774.14 and 2,413.16

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Solution

The fourth proportional to 5,184.74, 7,774.14 and 2,413.16 is: 3,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184.74 : 7,774.14 = 2,413.16 : x
  2. Step 2: Convert to fraction form
    5,184.74/7,774.14 = 2,413.16/x
  3. Step 3: Cross multiply
    5,184.74x = 7,774.14 × 2,413.16
  4. Step 4: Simplify right side
    5,184.74x = 18,760,243.68
  5. Step 5: Solve for x
    x = 18,760,243.68/5,184.74
  6. Step 6: Final answer
    x = 3,618.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.