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Finding the Fourth Proportional to 5,093.51, 7,637.81 and 1,974.96

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Solution

The fourth proportional to 5,093.51, 7,637.81 and 1,974.96 is: 2,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.51 : 7,637.81 = 1,974.96 : x
  2. Step 2: Convert to fraction form
    5,093.51/7,637.81 = 1,974.96/x
  3. Step 3: Cross multiply
    5,093.51x = 7,637.81 × 1,974.96
  4. Step 4: Simplify right side
    5,093.51x = 15,084,359.36
  5. Step 5: Solve for x
    x = 15,084,359.36/5,093.51
  6. Step 6: Final answer
    x = 2,961.49

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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.