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Finding the Fourth Proportional to 4,469.88, 6,702.24 and 1,546.68

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Solution

The fourth proportional to 4,469.88, 6,702.24 and 1,546.68 is: 2,319.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,469.88 : 6,702.24 = 1,546.68 : x
  2. Step 2: Convert to fraction form
    4,469.88/6,702.24 = 1,546.68/x
  3. Step 3: Cross multiply
    4,469.88x = 6,702.24 × 1,546.68
  4. Step 4: Simplify right side
    4,469.88x = 10,366,220.56
  5. Step 5: Solve for x
    x = 10,366,220.56/4,469.88
  6. Step 6: Final answer
    x = 2,319.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.