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Finding the Fourth Proportional to 5,771.48, 7,964.20 and 3,413.16

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Solution

The fourth proportional to 5,771.48, 7,964.20 and 3,413.16 is: 4,709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.48 : 7,964.20 = 3,413.16 : x
  2. Step 2: Convert to fraction form
    5,771.48/7,964.20 = 3,413.16/x
  3. Step 3: Cross multiply
    5,771.48x = 7,964.20 × 3,413.16
  4. Step 4: Simplify right side
    5,771.48x = 27,183,088.87
  5. Step 5: Solve for x
    x = 27,183,088.87/5,771.48
  6. Step 6: Final answer
    x = 4,709.90

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1.5x scale

Why These Related Problems?

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