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Finding the Fourth Proportional to 4,936.86, 7,398.63 and 2,334.06

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Solution

The fourth proportional to 4,936.86, 7,398.63 and 2,334.06 is: 3,497.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.86 : 7,398.63 = 2,334.06 : x
  2. Step 2: Convert to fraction form
    4,936.86/7,398.63 = 2,334.06/x
  3. Step 3: Cross multiply
    4,936.86x = 7,398.63 × 2,334.06
  4. Step 4: Simplify right side
    4,936.86x = 17,268,846.34
  5. Step 5: Solve for x
    x = 17,268,846.34/4,936.86
  6. Step 6: Final answer
    x = 3,497.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.