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Finding the Fourth Proportional to 6,091.46, 8,404.80 and 4,204.70

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Solution

The fourth proportional to 6,091.46, 8,404.80 and 4,204.70 is: 5,801.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.46 : 8,404.80 = 4,204.70 : x
  2. Step 2: Convert to fraction form
    6,091.46/8,404.80 = 4,204.70/x
  3. Step 3: Cross multiply
    6,091.46x = 8,404.80 × 4,204.70
  4. Step 4: Simplify right side
    6,091.46x = 35,339,662.56
  5. Step 5: Solve for x
    x = 35,339,662.56/6,091.46
  6. Step 6: Final answer
    x = 5,801.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.