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Finding the Fourth Proportional to 4,234.76, 5,845.64 and 3,791.84

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Solution

The fourth proportional to 4,234.76, 5,845.64 and 3,791.84 is: 5,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.76 : 5,845.64 = 3,791.84 : x
  2. Step 2: Convert to fraction form
    4,234.76/5,845.64 = 3,791.84/x
  3. Step 3: Cross multiply
    4,234.76x = 5,845.64 × 3,791.84
  4. Step 4: Simplify right side
    4,234.76x = 22,165,731.58
  5. Step 5: Solve for x
    x = 22,165,731.58/4,234.76
  6. Step 6: Final answer
    x = 5,234.24

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1.5x scale

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.