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Finding the Fourth Proportional to 3,846.06, 5,308.47 and 2,448

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Solution

The fourth proportional to 3,846.06, 5,308.47 and 2,448 is: 3,378.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.06 : 5,308.47 = 2,448 : x
  2. Step 2: Convert to fraction form
    3,846.06/5,308.47 = 2,448/x
  3. Step 3: Cross multiply
    3,846.06x = 5,308.47 × 2,448
  4. Step 4: Simplify right side
    3,846.06x = 12,995,134.56
  5. Step 5: Solve for x
    x = 12,995,134.56/3,846.06
  6. Step 6: Final answer
    x = 3,378.82

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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.