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Finding the Fourth Proportional to 3,846.47, 5,308.12 and 2,078.07

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Solution

The fourth proportional to 3,846.47, 5,308.12 and 2,078.07 is: 2,867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.47 : 5,308.12 = 2,078.07 : x
  2. Step 2: Convert to fraction form
    3,846.47/5,308.12 = 2,078.07/x
  3. Step 3: Cross multiply
    3,846.47x = 5,308.12 × 2,078.07
  4. Step 4: Simplify right side
    3,846.47x = 11,030,608.00
  5. Step 5: Solve for x
    x = 11,030,608.00/3,846.47
  6. Step 6: Final answer
    x = 2,867.73

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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.