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Finding the Fourth Proportional to 5,342.78, 7,370.44 and 3,767.42

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Solution

The fourth proportional to 5,342.78, 7,370.44 and 3,767.42 is: 5,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342.78 : 7,370.44 = 3,767.42 : x
  2. Step 2: Convert to fraction form
    5,342.78/7,370.44 = 3,767.42/x
  3. Step 3: Cross multiply
    5,342.78x = 7,370.44 × 3,767.42
  4. Step 4: Simplify right side
    5,342.78x = 27,767,496.79
  5. Step 5: Solve for x
    x = 27,767,496.79/5,342.78
  6. Step 6: Final answer
    x = 5,197.20

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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.