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Finding the Fourth Proportional to 4,170.69, 6,280.71 and 3,629.41

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Solution

The fourth proportional to 4,170.69, 6,280.71 and 3,629.41 is: 5,465.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.69 : 6,280.71 = 3,629.41 : x
  2. Step 2: Convert to fraction form
    4,170.69/6,280.71 = 3,629.41/x
  3. Step 3: Cross multiply
    4,170.69x = 6,280.71 × 3,629.41
  4. Step 4: Simplify right side
    4,170.69x = 22,795,272.99
  5. Step 5: Solve for x
    x = 22,795,272.99/4,170.69
  6. Step 6: Final answer
    x = 5,465.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.