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Finding the Fourth Proportional to 5,680.68, 7,837.20 and 4,192.16

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Solution

The fourth proportional to 5,680.68, 7,837.20 and 4,192.16 is: 5,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.68 : 7,837.20 = 4,192.16 : x
  2. Step 2: Convert to fraction form
    5,680.68/7,837.20 = 4,192.16/x
  3. Step 3: Cross multiply
    5,680.68x = 7,837.20 × 4,192.16
  4. Step 4: Simplify right side
    5,680.68x = 32,854,796.35
  5. Step 5: Solve for x
    x = 32,854,796.35/5,680.68
  6. Step 6: Final answer
    x = 5,783.60

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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.