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Finding the Fourth Proportional to 4,726, 6,523.50 and 2,863

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Solution

The fourth proportional to 4,726, 6,523.50 and 2,863 is: 3,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,726 : 6,523.50 = 2,863 : x
  2. Step 2: Convert to fraction form
    4,726/6,523.50 = 2,863/x
  3. Step 3: Cross multiply
    4,726x = 6,523.50 × 2,863
  4. Step 4: Simplify right side
    4,726x = 18,676,780.50
  5. Step 5: Solve for x
    x = 18,676,780.50/4,726
  6. Step 6: Final answer
    x = 3,951.92

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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.