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Finding the Fourth Proportional to 3,794.38, 5,234.40 and 2,953.60

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Solution

The fourth proportional to 3,794.38, 5,234.40 and 2,953.60 is: 4,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.38 : 5,234.40 = 2,953.60 : x
  2. Step 2: Convert to fraction form
    3,794.38/5,234.40 = 2,953.60/x
  3. Step 3: Cross multiply
    3,794.38x = 5,234.40 × 2,953.60
  4. Step 4: Simplify right side
    3,794.38x = 15,460,323.84
  5. Step 5: Solve for x
    x = 15,460,323.84/3,794.38
  6. Step 6: Final answer
    x = 4,074.53

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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.