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Finding the Fourth Proportional to 4,965, 6,851.70 and 2,757

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Solution

The fourth proportional to 4,965, 6,851.70 and 2,757 is: 3,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965 : 6,851.70 = 2,757 : x
  2. Step 2: Convert to fraction form
    4,965/6,851.70 = 2,757/x
  3. Step 3: Cross multiply
    4,965x = 6,851.70 × 2,757
  4. Step 4: Simplify right side
    4,965x = 18,890,136.90
  5. Step 5: Solve for x
    x = 18,890,136.90/4,965
  6. Step 6: Final answer
    x = 3,804.66

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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.