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Finding the Fourth Proportional to 5,224.32, 7,832.16 and 3,576.78

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Solution

The fourth proportional to 5,224.32, 7,832.16 and 3,576.78 is: 5,362.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,224.32 : 7,832.16 = 3,576.78 : x
  2. Step 2: Convert to fraction form
    5,224.32/7,832.16 = 3,576.78/x
  3. Step 3: Cross multiply
    5,224.32x = 7,832.16 × 3,576.78
  4. Step 4: Simplify right side
    5,224.32x = 28,013,913.24
  5. Step 5: Solve for x
    x = 28,013,913.24/5,224.32
  6. Step 6: Final answer
    x = 5,362.21

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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.