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Finding the Fourth Proportional to 3,668.27, 5,498.26 and 1,820.70

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Solution

The fourth proportional to 3,668.27, 5,498.26 and 1,820.70 is: 2,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.27 : 5,498.26 = 1,820.70 : x
  2. Step 2: Convert to fraction form
    3,668.27/5,498.26 = 1,820.70/x
  3. Step 3: Cross multiply
    3,668.27x = 5,498.26 × 1,820.70
  4. Step 4: Simplify right side
    3,668.27x = 10,010,677.43
  5. Step 5: Solve for x
    x = 10,010,677.43/3,668.27
  6. Step 6: Final answer
    x = 2,729.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.