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Finding the Fourth Proportional to 4,605.42, 6,910.17 and 2,413.62

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Solution

The fourth proportional to 4,605.42, 6,910.17 and 2,413.62 is: 3,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.42 : 6,910.17 = 2,413.62 : x
  2. Step 2: Convert to fraction form
    4,605.42/6,910.17 = 2,413.62/x
  3. Step 3: Cross multiply
    4,605.42x = 6,910.17 × 2,413.62
  4. Step 4: Simplify right side
    4,605.42x = 16,678,524.52
  5. Step 5: Solve for x
    x = 16,678,524.52/4,605.42
  6. Step 6: Final answer
    x = 3,621.50

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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.