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Finding the Fourth Proportional to 5,705.14, 7,873.01 and 3,187.29

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Solution

The fourth proportional to 5,705.14, 7,873.01 and 3,187.29 is: 4,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.14 : 7,873.01 = 3,187.29 : x
  2. Step 2: Convert to fraction form
    5,705.14/7,873.01 = 3,187.29/x
  3. Step 3: Cross multiply
    5,705.14x = 7,873.01 × 3,187.29
  4. Step 4: Simplify right side
    5,705.14x = 25,093,532.54
  5. Step 5: Solve for x
    x = 25,093,532.54/5,705.14
  6. Step 6: Final answer
    x = 4,398.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.