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Finding the Fourth Proportional to 5,232.74, 7,849.81 and 1,945.41

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Solution

The fourth proportional to 5,232.74, 7,849.81 and 1,945.41 is: 2,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.74 : 7,849.81 = 1,945.41 : x
  2. Step 2: Convert to fraction form
    5,232.74/7,849.81 = 1,945.41/x
  3. Step 3: Cross multiply
    5,232.74x = 7,849.81 × 1,945.41
  4. Step 4: Simplify right side
    5,232.74x = 15,271,094.01
  5. Step 5: Solve for x
    x = 15,271,094.01/5,232.74
  6. Step 6: Final answer
    x = 2,918.37

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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.