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Finding the Fourth Proportional to 5,697.71, 8,545.48 and 2,413.11

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Solution

The fourth proportional to 5,697.71, 8,545.48 and 2,413.11 is: 3,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.71 : 8,545.48 = 2,413.11 : x
  2. Step 2: Convert to fraction form
    5,697.71/8,545.48 = 2,413.11/x
  3. Step 3: Cross multiply
    5,697.71x = 8,545.48 × 2,413.11
  4. Step 4: Simplify right side
    5,697.71x = 20,621,183.24
  5. Step 5: Solve for x
    x = 20,621,183.24/5,697.71
  6. Step 6: Final answer
    x = 3,619.21

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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.