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Finding the Fourth Proportional to 5,207.28, 7,186.05 and 2,849.40

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Solution

The fourth proportional to 5,207.28, 7,186.05 and 2,849.40 is: 3,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.28 : 7,186.05 = 2,849.40 : x
  2. Step 2: Convert to fraction form
    5,207.28/7,186.05 = 2,849.40/x
  3. Step 3: Cross multiply
    5,207.28x = 7,186.05 × 2,849.40
  4. Step 4: Simplify right side
    5,207.28x = 20,475,930.87
  5. Step 5: Solve for x
    x = 20,475,930.87/5,207.28
  6. Step 6: Final answer
    x = 3,932.17

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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.