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Finding the Fourth Proportional to 3,771.50, 5,663.04 and 3,605.12

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Solution

The fourth proportional to 3,771.50, 5,663.04 and 3,605.12 is: 5,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.50 : 5,663.04 = 3,605.12 : x
  2. Step 2: Convert to fraction form
    3,771.50/5,663.04 = 3,605.12/x
  3. Step 3: Cross multiply
    3,771.50x = 5,663.04 × 3,605.12
  4. Step 4: Simplify right side
    3,771.50x = 20,415,938.76
  5. Step 5: Solve for x
    x = 20,415,938.76/3,771.50
  6. Step 6: Final answer
    x = 5,413.21

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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.