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Finding the Fourth Proportional to 5,613, 8,413.74 and 2,328

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Solution

The fourth proportional to 5,613, 8,413.74 and 2,328 is: 3,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613 : 8,413.74 = 2,328 : x
  2. Step 2: Convert to fraction form
    5,613/8,413.74 = 2,328/x
  3. Step 3: Cross multiply
    5,613x = 8,413.74 × 2,328
  4. Step 4: Simplify right side
    5,613x = 19,587,186.72
  5. Step 5: Solve for x
    x = 19,587,186.72/5,613
  6. Step 6: Final answer
    x = 3,489.61

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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.