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Finding the Fourth Proportional to 4,954.24, 6,837.54 and 3,066.42

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Solution

The fourth proportional to 4,954.24, 6,837.54 and 3,066.42 is: 4,232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.24 : 6,837.54 = 3,066.42 : x
  2. Step 2: Convert to fraction form
    4,954.24/6,837.54 = 3,066.42/x
  3. Step 3: Cross multiply
    4,954.24x = 6,837.54 × 3,066.42
  4. Step 4: Simplify right side
    4,954.24x = 20,966,786.50
  5. Step 5: Solve for x
    x = 20,966,786.50/4,954.24
  6. Step 6: Final answer
    x = 4,232.09

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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.