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Finding the Fourth Proportional to 3,846.09, 5,308.12 and 2,334.25

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Solution

The fourth proportional to 3,846.09, 5,308.12 and 2,334.25 is: 3,221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.09 : 5,308.12 = 2,334.25 : x
  2. Step 2: Convert to fraction form
    3,846.09/5,308.12 = 2,334.25/x
  3. Step 3: Cross multiply
    3,846.09x = 5,308.12 × 2,334.25
  4. Step 4: Simplify right side
    3,846.09x = 12,390,488.66
  5. Step 5: Solve for x
    x = 12,390,488.66/3,846.09
  6. Step 6: Final answer
    x = 3,221.58

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