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Finding the Fourth Proportional to 4,061.40, 6,092.10 and 3,413.40

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Solution

The fourth proportional to 4,061.40, 6,092.10 and 3,413.40 is: 5,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.40 : 6,092.10 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    4,061.40/6,092.10 = 3,413.40/x
  3. Step 3: Cross multiply
    4,061.40x = 6,092.10 × 3,413.40
  4. Step 4: Simplify right side
    4,061.40x = 20,794,774.14
  5. Step 5: Solve for x
    x = 20,794,774.14/4,061.40
  6. Step 6: Final answer
    x = 5,120.10

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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.