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Finding the Fourth Proportional to 6,629.58, 9,145.53 and 3,976.38

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Solution

The fourth proportional to 6,629.58, 9,145.53 and 3,976.38 is: 5,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.58 : 9,145.53 = 3,976.38 : x
  2. Step 2: Convert to fraction form
    6,629.58/9,145.53 = 3,976.38/x
  3. Step 3: Cross multiply
    6,629.58x = 9,145.53 × 3,976.38
  4. Step 4: Simplify right side
    6,629.58x = 36,366,102.58
  5. Step 5: Solve for x
    x = 36,366,102.58/6,629.58
  6. Step 6: Final answer
    x = 5,485.43

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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.