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Finding the Fourth Proportional to 3,613.74, 5,413.02 and 2,296.83

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Solution

The fourth proportional to 3,613.74, 5,413.02 and 2,296.83 is: 3,440.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.74 : 5,413.02 = 2,296.83 : x
  2. Step 2: Convert to fraction form
    3,613.74/5,413.02 = 2,296.83/x
  3. Step 3: Cross multiply
    3,613.74x = 5,413.02 × 2,296.83
  4. Step 4: Simplify right side
    3,613.74x = 12,432,786.73
  5. Step 5: Solve for x
    x = 12,432,786.73/3,613.74
  6. Step 6: Final answer
    x = 3,440.42

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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.