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Finding the Fourth Proportional to 6,091.85, 8,404.21 and 4,098.95

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Solution

The fourth proportional to 6,091.85, 8,404.21 and 4,098.95 is: 5,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.85 : 8,404.21 = 4,098.95 : x
  2. Step 2: Convert to fraction form
    6,091.85/8,404.21 = 4,098.95/x
  3. Step 3: Cross multiply
    6,091.85x = 8,404.21 × 4,098.95
  4. Step 4: Simplify right side
    6,091.85x = 34,448,431.20
  5. Step 5: Solve for x
    x = 34,448,431.20/6,091.85
  6. Step 6: Final answer
    x = 5,654.84

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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.