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Finding the Fourth Proportional to 3,668.39, 5,498.43 and 1,820.78

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Solution

The fourth proportional to 3,668.39, 5,498.43 and 1,820.78 is: 2,729.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.39 : 5,498.43 = 1,820.78 : x
  2. Step 2: Convert to fraction form
    3,668.39/5,498.43 = 1,820.78/x
  3. Step 3: Cross multiply
    3,668.39x = 5,498.43 × 1,820.78
  4. Step 4: Simplify right side
    3,668.39x = 10,011,431.38
  5. Step 5: Solve for x
    x = 10,011,431.38/3,668.39
  6. Step 6: Final answer
    x = 2,729.11

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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.