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Finding the Fourth Proportional to 5,893.85, 8,141.79 and 5,361.80

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Solution

The fourth proportional to 5,893.85, 8,141.79 and 5,361.80 is: 7,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.85 : 8,141.79 = 5,361.80 : x
  2. Step 2: Convert to fraction form
    5,893.85/8,141.79 = 5,361.80/x
  3. Step 3: Cross multiply
    5,893.85x = 8,141.79 × 5,361.80
  4. Step 4: Simplify right side
    5,893.85x = 43,654,613.94
  5. Step 5: Solve for x
    x = 43,654,613.94/5,893.85
  6. Step 6: Final answer
    x = 7,406.81

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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.