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Finding the Fourth Proportional to 4,491.39, 6,734.79 and 2,413.15

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Solution

The fourth proportional to 4,491.39, 6,734.79 and 2,413.15 is: 3,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,491.39 : 6,734.79 = 2,413.15 : x
  2. Step 2: Convert to fraction form
    4,491.39/6,734.79 = 2,413.15/x
  3. Step 3: Cross multiply
    4,491.39x = 6,734.79 × 2,413.15
  4. Step 4: Simplify right side
    4,491.39x = 16,252,041.65
  5. Step 5: Solve for x
    x = 16,252,041.65/4,491.39
  6. Step 6: Final answer
    x = 3,618.49

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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.