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Finding the Fourth Proportional to 4,837.23, 6,659.43 and 4,207.42

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Solution

The fourth proportional to 4,837.23, 6,659.43 and 4,207.42 is: 5,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,837.23 : 6,659.43 = 4,207.42 : x
  2. Step 2: Convert to fraction form
    4,837.23/6,659.43 = 4,207.42/x
  3. Step 3: Cross multiply
    4,837.23x = 6,659.43 × 4,207.42
  4. Step 4: Simplify right side
    4,837.23x = 28,019,018.97
  5. Step 5: Solve for x
    x = 28,019,018.97/4,837.23
  6. Step 6: Final answer
    x = 5,792.37

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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.