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Finding the Fourth Proportional to 3,618.50, 5,420.49 and 1,668.02

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Solution

The fourth proportional to 3,618.50, 5,420.49 and 1,668.02 is: 2,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.50 : 5,420.49 = 1,668.02 : x
  2. Step 2: Convert to fraction form
    3,618.50/5,420.49 = 1,668.02/x
  3. Step 3: Cross multiply
    3,618.50x = 5,420.49 × 1,668.02
  4. Step 4: Simplify right side
    3,618.50x = 9,041,485.73
  5. Step 5: Solve for x
    x = 9,041,485.73/3,618.50
  6. Step 6: Final answer
    x = 2,498.68

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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.