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Finding the Fourth Proportional to 4,155.99, 5,730.60 and 3,397.41

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Solution

The fourth proportional to 4,155.99, 5,730.60 and 3,397.41 is: 4,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.99 : 5,730.60 = 3,397.41 : x
  2. Step 2: Convert to fraction form
    4,155.99/5,730.60 = 3,397.41/x
  3. Step 3: Cross multiply
    4,155.99x = 5,730.60 × 3,397.41
  4. Step 4: Simplify right side
    4,155.99x = 19,469,197.75
  5. Step 5: Solve for x
    x = 19,469,197.75/4,155.99
  6. Step 6: Final answer
    x = 4,684.61

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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.