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Finding the Fourth Proportional to 3,626.56, 4,967.16 and 3,413.79

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Solution

The fourth proportional to 3,626.56, 4,967.16 and 3,413.79 is: 4,675.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.56 : 4,967.16 = 3,413.79 : x
  2. Step 2: Convert to fraction form
    3,626.56/4,967.16 = 3,413.79/x
  3. Step 3: Cross multiply
    3,626.56x = 4,967.16 × 3,413.79
  4. Step 4: Simplify right side
    3,626.56x = 16,956,841.14
  5. Step 5: Solve for x
    x = 16,956,841.14/3,626.56
  6. Step 6: Final answer
    x = 4,675.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.