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Finding the Fourth Proportional to 5,419.98, 8,131.19 and 1,957.23

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Solution

The fourth proportional to 5,419.98, 8,131.19 and 1,957.23 is: 2,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.98 : 8,131.19 = 1,957.23 : x
  2. Step 2: Convert to fraction form
    5,419.98/8,131.19 = 1,957.23/x
  3. Step 3: Cross multiply
    5,419.98x = 8,131.19 × 1,957.23
  4. Step 4: Simplify right side
    5,419.98x = 15,914,599.22
  5. Step 5: Solve for x
    x = 15,914,599.22/5,419.98
  6. Step 6: Final answer
    x = 2,936.28

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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.