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Finding the Fourth Proportional to 5,137.14, 7,705.74 and 1,674.39

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Solution

The fourth proportional to 5,137.14, 7,705.74 and 1,674.39 is: 2,511.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.14 : 7,705.74 = 1,674.39 : x
  2. Step 2: Convert to fraction form
    5,137.14/7,705.74 = 1,674.39/x
  3. Step 3: Cross multiply
    5,137.14x = 7,705.74 × 1,674.39
  4. Step 4: Simplify right side
    5,137.14x = 12,902,414.00
  5. Step 5: Solve for x
    x = 12,902,414.00/5,137.14
  6. Step 6: Final answer
    x = 2,511.59

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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.