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Finding the Fourth Proportional to 6,145.38, 8,480.40 and 3,627.60

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Solution

The fourth proportional to 6,145.38, 8,480.40 and 3,627.60 is: 5,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.38 : 8,480.40 = 3,627.60 : x
  2. Step 2: Convert to fraction form
    6,145.38/8,480.40 = 3,627.60/x
  3. Step 3: Cross multiply
    6,145.38x = 8,480.40 × 3,627.60
  4. Step 4: Simplify right side
    6,145.38x = 30,763,499.04
  5. Step 5: Solve for x
    x = 30,763,499.04/6,145.38
  6. Step 6: Final answer
    x = 5,005.96

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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.