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Finding the Fourth Proportional to 5,369.57, 7,413.24 and 3,509.81

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Solution

The fourth proportional to 5,369.57, 7,413.24 and 3,509.81 is: 4,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.57 : 7,413.24 = 3,509.81 : x
  2. Step 2: Convert to fraction form
    5,369.57/7,413.24 = 3,509.81/x
  3. Step 3: Cross multiply
    5,369.57x = 7,413.24 × 3,509.81
  4. Step 4: Simplify right side
    5,369.57x = 26,019,009.27
  5. Step 5: Solve for x
    x = 26,019,009.27/5,369.57
  6. Step 6: Final answer
    x = 4,845.65

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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.