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Finding the Fourth Proportional to 4,953, 6,835.46 and 2,745

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Solution

The fourth proportional to 4,953, 6,835.46 and 2,745 is: 3,788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953 : 6,835.46 = 2,745 : x
  2. Step 2: Convert to fraction form
    4,953/6,835.46 = 2,745/x
  3. Step 3: Cross multiply
    4,953x = 6,835.46 × 2,745
  4. Step 4: Simplify right side
    4,953x = 18,763,337.70
  5. Step 5: Solve for x
    x = 18,763,337.70/4,953
  6. Step 6: Final answer
    x = 3,788.28

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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.