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Finding the Fourth Proportional to 4,953.02, 6,833.97 and 2,857.14

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Solution

The fourth proportional to 4,953.02, 6,833.97 and 2,857.14 is: 3,942.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.02 : 6,833.97 = 2,857.14 : x
  2. Step 2: Convert to fraction form
    4,953.02/6,833.97 = 2,857.14/x
  3. Step 3: Cross multiply
    4,953.02x = 6,833.97 × 2,857.14
  4. Step 4: Simplify right side
    4,953.02x = 19,525,609.05
  5. Step 5: Solve for x
    x = 19,525,609.05/4,953.02
  6. Step 6: Final answer
    x = 3,942.17

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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.