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Finding the Fourth Proportional to 5,680.80, 7,837.20 and 4,105.44

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Solution

The fourth proportional to 5,680.80, 7,837.20 and 4,105.44 is: 5,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.80 : 7,837.20 = 4,105.44 : x
  2. Step 2: Convert to fraction form
    5,680.80/7,837.20 = 4,105.44/x
  3. Step 3: Cross multiply
    5,680.80x = 7,837.20 × 4,105.44
  4. Step 4: Simplify right side
    5,680.80x = 32,175,154.37
  5. Step 5: Solve for x
    x = 32,175,154.37/5,680.80
  6. Step 6: Final answer
    x = 5,663.84

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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.