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Finding the Fourth Proportional to 5,033.38, 6,946.47 and 2,796.03

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Solution

The fourth proportional to 5,033.38, 6,946.47 and 2,796.03 is: 3,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,033.38 : 6,946.47 = 2,796.03 : x
  2. Step 2: Convert to fraction form
    5,033.38/6,946.47 = 2,796.03/x
  3. Step 3: Cross multiply
    5,033.38x = 6,946.47 × 2,796.03
  4. Step 4: Simplify right side
    5,033.38x = 19,422,538.51
  5. Step 5: Solve for x
    x = 19,422,538.51/5,033.38
  6. Step 6: Final answer
    x = 3,858.75

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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.