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Finding the Fourth Proportional to 4,975.56, 6,864.75 and 2,879.28

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Solution

The fourth proportional to 4,975.56, 6,864.75 and 2,879.28 is: 3,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.56 : 6,864.75 = 2,879.28 : x
  2. Step 2: Convert to fraction form
    4,975.56/6,864.75 = 2,879.28/x
  3. Step 3: Cross multiply
    4,975.56x = 6,864.75 × 2,879.28
  4. Step 4: Simplify right side
    4,975.56x = 19,765,537.38
  5. Step 5: Solve for x
    x = 19,765,537.38/4,975.56
  6. Step 6: Final answer
    x = 3,972.53

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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.