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Finding the Fourth Proportional to 5,680.72, 7,837.16 and 4,192.22

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Solution

The fourth proportional to 5,680.72, 7,837.16 and 4,192.22 is: 5,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.72 : 7,837.16 = 4,192.22 : x
  2. Step 2: Convert to fraction form
    5,680.72/7,837.16 = 4,192.22/x
  3. Step 3: Cross multiply
    5,680.72x = 7,837.16 × 4,192.22
  4. Step 4: Simplify right side
    5,680.72x = 32,855,098.90
  5. Step 5: Solve for x
    x = 32,855,098.90/5,680.72
  6. Step 6: Final answer
    x = 5,783.62

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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.