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Finding the Fourth Proportional to 6,208.38, 9,308.97 and 2,507.58

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Solution

The fourth proportional to 6,208.38, 9,308.97 and 2,507.58 is: 3,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.38 : 9,308.97 = 2,507.58 : x
  2. Step 2: Convert to fraction form
    6,208.38/9,308.97 = 2,507.58/x
  3. Step 3: Cross multiply
    6,208.38x = 9,308.97 × 2,507.58
  4. Step 4: Simplify right side
    6,208.38x = 23,342,986.99
  5. Step 5: Solve for x
    x = 23,342,986.99/6,208.38
  6. Step 6: Final answer
    x = 3,759.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.