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Finding the Fourth Proportional to 5,097.14, 7,033.37 and 2,828.45

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Solution

The fourth proportional to 5,097.14, 7,033.37 and 2,828.45 is: 3,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.14 : 7,033.37 = 2,828.45 : x
  2. Step 2: Convert to fraction form
    5,097.14/7,033.37 = 2,828.45/x
  3. Step 3: Cross multiply
    5,097.14x = 7,033.37 × 2,828.45
  4. Step 4: Simplify right side
    5,097.14x = 19,893,535.38
  5. Step 5: Solve for x
    x = 19,893,535.38/5,097.14
  6. Step 6: Final answer
    x = 3,902.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.