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Finding the Fourth Proportional to 3,797.34, 5,238.54 and 2,470.56

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Solution

The fourth proportional to 3,797.34, 5,238.54 and 2,470.56 is: 3,408.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.34 : 5,238.54 = 2,470.56 : x
  2. Step 2: Convert to fraction form
    3,797.34/5,238.54 = 2,470.56/x
  3. Step 3: Cross multiply
    3,797.34x = 5,238.54 × 2,470.56
  4. Step 4: Simplify right side
    3,797.34x = 12,942,127.38
  5. Step 5: Solve for x
    x = 12,942,127.38/3,797.34
  6. Step 6: Final answer
    x = 3,408.21

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Why These Related Problems?

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