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Finding the Fourth Proportional to 5,615.39, 8,413.50 and 3,148.67

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Solution

The fourth proportional to 5,615.39, 8,413.50 and 3,148.67 is: 4,717.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.39 : 8,413.50 = 3,148.67 : x
  2. Step 2: Convert to fraction form
    5,615.39/8,413.50 = 3,148.67/x
  3. Step 3: Cross multiply
    5,615.39x = 8,413.50 × 3,148.67
  4. Step 4: Simplify right side
    5,615.39x = 26,491,335.05
  5. Step 5: Solve for x
    x = 26,491,335.05/5,615.39
  6. Step 6: Final answer
    x = 4,717.63

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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.