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Finding the Fourth Proportional to 5,462.44, 7,548.39 and 4,467.34

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Solution

The fourth proportional to 5,462.44, 7,548.39 and 4,467.34 is: 6,173.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.44 : 7,548.39 = 4,467.34 : x
  2. Step 2: Convert to fraction form
    5,462.44/7,548.39 = 4,467.34/x
  3. Step 3: Cross multiply
    5,462.44x = 7,548.39 × 4,467.34
  4. Step 4: Simplify right side
    5,462.44x = 33,721,224.58
  5. Step 5: Solve for x
    x = 33,721,224.58/5,462.44
  6. Step 6: Final answer
    x = 6,173.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.