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Finding the Fourth Proportional to 4,885, 6,741.54 and 2,677

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Solution

The fourth proportional to 4,885, 6,741.54 and 2,677 is: 3,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885 : 6,741.54 = 2,677 : x
  2. Step 2: Convert to fraction form
    4,885/6,741.54 = 2,677/x
  3. Step 3: Cross multiply
    4,885x = 6,741.54 × 2,677
  4. Step 4: Simplify right side
    4,885x = 18,047,102.58
  5. Step 5: Solve for x
    x = 18,047,102.58/4,885
  6. Step 6: Final answer
    x = 3,694.39

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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.