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Finding the Fourth Proportional to 3,413.92, 5,123.24 and 1,565.24

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Solution

The fourth proportional to 3,413.92, 5,123.24 and 1,565.24 is: 2,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.92 : 5,123.24 = 1,565.24 : x
  2. Step 2: Convert to fraction form
    3,413.92/5,123.24 = 1,565.24/x
  3. Step 3: Cross multiply
    3,413.92x = 5,123.24 × 1,565.24
  4. Step 4: Simplify right side
    3,413.92x = 8,019,100.18
  5. Step 5: Solve for x
    x = 8,019,100.18/3,413.92
  6. Step 6: Final answer
    x = 2,348.94

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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.