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Finding the Fourth Proportional to 5,201.20, 7,803.15 and 4,413.07

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Solution

The fourth proportional to 5,201.20, 7,803.15 and 4,413.07 is: 6,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.20 : 7,803.15 = 4,413.07 : x
  2. Step 2: Convert to fraction form
    5,201.20/7,803.15 = 4,413.07/x
  3. Step 3: Cross multiply
    5,201.20x = 7,803.15 × 4,413.07
  4. Step 4: Simplify right side
    5,201.20x = 34,435,847.17
  5. Step 5: Solve for x
    x = 34,435,847.17/5,201.20
  6. Step 6: Final answer
    x = 6,620.75

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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.