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Finding the Fourth Proportional to 5,427.42, 7,493.42 and 3,637.20

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Solution

The fourth proportional to 5,427.42, 7,493.42 and 3,637.20 is: 5,021.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.42 : 7,493.42 = 3,637.20 : x
  2. Step 2: Convert to fraction form
    5,427.42/7,493.42 = 3,637.20/x
  3. Step 3: Cross multiply
    5,427.42x = 7,493.42 × 3,637.20
  4. Step 4: Simplify right side
    5,427.42x = 27,255,049.04
  5. Step 5: Solve for x
    x = 27,255,049.04/5,427.42
  6. Step 6: Final answer
    x = 5,021.73

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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.