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Finding the Fourth Proportional to 3,419.25, 5,126.84 and 1,336.84

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Solution

The fourth proportional to 3,419.25, 5,126.84 and 1,336.84 is: 2,004.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.25 : 5,126.84 = 1,336.84 : x
  2. Step 2: Convert to fraction form
    3,419.25/5,126.84 = 1,336.84/x
  3. Step 3: Cross multiply
    3,419.25x = 5,126.84 × 1,336.84
  4. Step 4: Simplify right side
    3,419.25x = 6,853,755.31
  5. Step 5: Solve for x
    x = 6,853,755.31/3,419.25
  6. Step 6: Final answer
    x = 2,004.46

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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.