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Finding the Fourth Proportional to 6,629.38, 9,148.58 and 3,645.41

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Solution

The fourth proportional to 6,629.38, 9,148.58 and 3,645.41 is: 5,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.38 : 9,148.58 = 3,645.41 : x
  2. Step 2: Convert to fraction form
    6,629.38/9,148.58 = 3,645.41/x
  3. Step 3: Cross multiply
    6,629.38x = 9,148.58 × 3,645.41
  4. Step 4: Simplify right side
    6,629.38x = 33,350,261.05
  5. Step 5: Solve for x
    x = 33,350,261.05/6,629.38
  6. Step 6: Final answer
    x = 5,030.68

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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.