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Finding the Fourth Proportional to 6,305.94, 8,704.26 and 3,654

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Solution

The fourth proportional to 6,305.94, 8,704.26 and 3,654 is: 5,043.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.94 : 8,704.26 = 3,654 : x
  2. Step 2: Convert to fraction form
    6,305.94/8,704.26 = 3,654/x
  3. Step 3: Cross multiply
    6,305.94x = 8,704.26 × 3,654
  4. Step 4: Simplify right side
    6,305.94x = 31,805,366.04
  5. Step 5: Solve for x
    x = 31,805,366.04/6,305.94
  6. Step 6: Final answer
    x = 5,043.72

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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.