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Finding the Fourth Proportional to 3,404.00, 4,694.07 and 3,205.58

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Solution

The fourth proportional to 3,404.00, 4,694.07 and 3,205.58 is: 4,420.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.00 : 4,694.07 = 3,205.58 : x
  2. Step 2: Convert to fraction form
    3,404.00/4,694.07 = 3,205.58/x
  3. Step 3: Cross multiply
    3,404.00x = 4,694.07 × 3,205.58
  4. Step 4: Simplify right side
    3,404.00x = 15,047,193.44
  5. Step 5: Solve for x
    x = 15,047,193.44/3,404.00
  6. Step 6: Final answer
    x = 4,420.44

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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.