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Finding the Fourth Proportional to 3,616.50, 5,420.97 and 1,669.98

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Solution

The fourth proportional to 3,616.50, 5,420.97 and 1,669.98 is: 2,503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.50 : 5,420.97 = 1,669.98 : x
  2. Step 2: Convert to fraction form
    3,616.50/5,420.97 = 1,669.98/x
  3. Step 3: Cross multiply
    3,616.50x = 5,420.97 × 1,669.98
  4. Step 4: Simplify right side
    3,616.50x = 9,052,911.48
  5. Step 5: Solve for x
    x = 9,052,911.48/3,616.50
  6. Step 6: Final answer
    x = 2,503.22

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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.