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Finding the Fourth Proportional to 5,305.32, 7,321.02 and 2,947.38

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Solution

The fourth proportional to 5,305.32, 7,321.02 and 2,947.38 is: 4,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.32 : 7,321.02 = 2,947.38 : x
  2. Step 2: Convert to fraction form
    5,305.32/7,321.02 = 2,947.38/x
  3. Step 3: Cross multiply
    5,305.32x = 7,321.02 × 2,947.38
  4. Step 4: Simplify right side
    5,305.32x = 21,577,827.93
  5. Step 5: Solve for x
    x = 21,577,827.93/5,305.32
  6. Step 6: Final answer
    x = 4,067.21

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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.