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Finding the Fourth Proportional to 3,698.07, 5,546.74 and 1,101.03

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Solution

The fourth proportional to 3,698.07, 5,546.74 and 1,101.03 is: 1,651.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.07 : 5,546.74 = 1,101.03 : x
  2. Step 2: Convert to fraction form
    3,698.07/5,546.74 = 1,101.03/x
  3. Step 3: Cross multiply
    3,698.07x = 5,546.74 × 1,101.03
  4. Step 4: Simplify right side
    3,698.07x = 6,107,127.14
  5. Step 5: Solve for x
    x = 6,107,127.14/3,698.07
  6. Step 6: Final answer
    x = 1,651.44

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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.