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Finding the Fourth Proportional to 4,798.26, 7,202.25 and 3,413.16

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Solution

The fourth proportional to 4,798.26, 7,202.25 and 3,413.16 is: 5,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.26 : 7,202.25 = 3,413.16 : x
  2. Step 2: Convert to fraction form
    4,798.26/7,202.25 = 3,413.16/x
  3. Step 3: Cross multiply
    4,798.26x = 7,202.25 × 3,413.16
  4. Step 4: Simplify right side
    4,798.26x = 24,582,431.61
  5. Step 5: Solve for x
    x = 24,582,431.61/4,798.26
  6. Step 6: Final answer
    x = 5,123.20

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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.