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Finding the Fourth Proportional to 3,465.47, 5,198.03 and 1,274.03

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Solution

The fourth proportional to 3,465.47, 5,198.03 and 1,274.03 is: 1,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.47 : 5,198.03 = 1,274.03 : x
  2. Step 2: Convert to fraction form
    3,465.47/5,198.03 = 1,274.03/x
  3. Step 3: Cross multiply
    3,465.47x = 5,198.03 × 1,274.03
  4. Step 4: Simplify right side
    3,465.47x = 6,622,446.16
  5. Step 5: Solve for x
    x = 6,622,446.16/3,465.47
  6. Step 6: Final answer
    x = 1,910.98

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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.