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Finding the Fourth Proportional to 5,207.31, 7,186.14 and 2,849.49

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Solution

The fourth proportional to 5,207.31, 7,186.14 and 2,849.49 is: 3,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.31 : 7,186.14 = 2,849.49 : x
  2. Step 2: Convert to fraction form
    5,207.31/7,186.14 = 2,849.49/x
  3. Step 3: Cross multiply
    5,207.31x = 7,186.14 × 2,849.49
  4. Step 4: Simplify right side
    5,207.31x = 20,476,834.07
  5. Step 5: Solve for x
    x = 20,476,834.07/5,207.31
  6. Step 6: Final answer
    x = 3,932.32

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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.