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Finding the Fourth Proportional to 4,923, 6,793.74 and 2,715

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Solution

The fourth proportional to 4,923, 6,793.74 and 2,715 is: 3,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923 : 6,793.74 = 2,715 : x
  2. Step 2: Convert to fraction form
    4,923/6,793.74 = 2,715/x
  3. Step 3: Cross multiply
    4,923x = 6,793.74 × 2,715
  4. Step 4: Simplify right side
    4,923x = 18,445,004.10
  5. Step 5: Solve for x
    x = 18,445,004.10/4,923
  6. Step 6: Final answer
    x = 3,746.70

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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.