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Finding the Fourth Proportional to 3,846.54, 5,308.23 and 2,078.15

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Solution

The fourth proportional to 3,846.54, 5,308.23 and 2,078.15 is: 2,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.54 : 5,308.23 = 2,078.15 : x
  2. Step 2: Convert to fraction form
    3,846.54/5,308.23 = 2,078.15/x
  3. Step 3: Cross multiply
    3,846.54x = 5,308.23 × 2,078.15
  4. Step 4: Simplify right side
    3,846.54x = 11,031,287.64
  5. Step 5: Solve for x
    x = 11,031,287.64/3,846.54
  6. Step 6: Final answer
    x = 2,867.85

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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.