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Finding the Fourth Proportional to 5,232.16, 7,843.29 and 1,943.02

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Solution

The fourth proportional to 5,232.16, 7,843.29 and 1,943.02 is: 2,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.16 : 7,843.29 = 1,943.02 : x
  2. Step 2: Convert to fraction form
    5,232.16/7,843.29 = 1,943.02/x
  3. Step 3: Cross multiply
    5,232.16x = 7,843.29 × 1,943.02
  4. Step 4: Simplify right side
    5,232.16x = 15,239,669.34
  5. Step 5: Solve for x
    x = 15,239,669.34/5,232.16
  6. Step 6: Final answer
    x = 2,912.69

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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.