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Finding the Fourth Proportional to 3,461.98, 5,193.72 and 1,270.63

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Solution

The fourth proportional to 3,461.98, 5,193.72 and 1,270.63 is: 1,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.98 : 5,193.72 = 1,270.63 : x
  2. Step 2: Convert to fraction form
    3,461.98/5,193.72 = 1,270.63/x
  3. Step 3: Cross multiply
    3,461.98x = 5,193.72 × 1,270.63
  4. Step 4: Simplify right side
    3,461.98x = 6,599,296.44
  5. Step 5: Solve for x
    x = 6,599,296.44/3,461.98
  6. Step 6: Final answer
    x = 1,906.22

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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.