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Finding the Fourth Proportional to 6,146.53, 8,480.02 and 3,627.38

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Solution

The fourth proportional to 6,146.53, 8,480.02 and 3,627.38 is: 5,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.53 : 8,480.02 = 3,627.38 : x
  2. Step 2: Convert to fraction form
    6,146.53/8,480.02 = 3,627.38/x
  3. Step 3: Cross multiply
    6,146.53x = 8,480.02 × 3,627.38
  4. Step 4: Simplify right side
    6,146.53x = 30,760,194.41
  5. Step 5: Solve for x
    x = 30,760,194.41/6,146.53
  6. Step 6: Final answer
    x = 5,004.49

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Why These Related Problems?

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