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Finding the Fourth Proportional to 5,305.16, 7,321.38 and 2,947.25

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Solution

The fourth proportional to 5,305.16, 7,321.38 and 2,947.25 is: 4,067.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.16 : 7,321.38 = 2,947.25 : x
  2. Step 2: Convert to fraction form
    5,305.16/7,321.38 = 2,947.25/x
  3. Step 3: Cross multiply
    5,305.16x = 7,321.38 × 2,947.25
  4. Step 4: Simplify right side
    5,305.16x = 21,577,937.21
  5. Step 5: Solve for x
    x = 21,577,937.21/5,305.16
  6. Step 6: Final answer
    x = 4,067.35

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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.