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Finding the Fourth Proportional to 3,855.44, 5,768.95 and 3,413.18

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Solution

The fourth proportional to 3,855.44, 5,768.95 and 3,413.18 is: 5,107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.44 : 5,768.95 = 3,413.18 : x
  2. Step 2: Convert to fraction form
    3,855.44/5,768.95 = 3,413.18/x
  3. Step 3: Cross multiply
    3,855.44x = 5,768.95 × 3,413.18
  4. Step 4: Simplify right side
    3,855.44x = 19,690,426.89
  5. Step 5: Solve for x
    x = 19,690,426.89/3,855.44
  6. Step 6: Final answer
    x = 5,107.19

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1.5x scale

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.