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Finding the Fourth Proportional to 5,305, 7,320.91 and 2,947.36

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Solution

The fourth proportional to 5,305, 7,320.91 and 2,947.36 is: 4,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305 : 7,320.91 = 2,947.36 : x
  2. Step 2: Convert to fraction form
    5,305/7,320.91 = 2,947.36/x
  3. Step 3: Cross multiply
    5,305x = 7,320.91 × 2,947.36
  4. Step 4: Simplify right side
    5,305x = 21,577,342.56
  5. Step 5: Solve for x
    x = 21,577,342.56/5,305
  6. Step 6: Final answer
    x = 4,067.36

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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.