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Finding the Fourth Proportional to 4,932.17, 7,398 and 1,811.94

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Solution

The fourth proportional to 4,932.17, 7,398 and 1,811.94 is: 2,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.17 : 7,398 = 1,811.94 : x
  2. Step 2: Convert to fraction form
    4,932.17/7,398 = 1,811.94/x
  3. Step 3: Cross multiply
    4,932.17x = 7,398 × 1,811.94
  4. Step 4: Simplify right side
    4,932.17x = 13,404,732.12
  5. Step 5: Solve for x
    x = 13,404,732.12/4,932.17
  6. Step 6: Final answer
    x = 2,717.81

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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.