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Finding the Fourth Proportional to 4,862, 6,709.38 and 2,737.57

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Solution

The fourth proportional to 4,862, 6,709.38 and 2,737.57 is: 3,777.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862 : 6,709.38 = 2,737.57 : x
  2. Step 2: Convert to fraction form
    4,862/6,709.38 = 2,737.57/x
  3. Step 3: Cross multiply
    4,862x = 6,709.38 × 2,737.57
  4. Step 4: Simplify right side
    4,862x = 18,367,397.41
  5. Step 5: Solve for x
    x = 18,367,397.41/4,862
  6. Step 6: Final answer
    x = 3,777.75

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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.