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Finding the Fourth Proportional to 4,959.34, 7,429.09 and 2,983.88

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Solution

The fourth proportional to 4,959.34, 7,429.09 and 2,983.88 is: 4,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.34 : 7,429.09 = 2,983.88 : x
  2. Step 2: Convert to fraction form
    4,959.34/7,429.09 = 2,983.88/x
  3. Step 3: Cross multiply
    4,959.34x = 7,429.09 × 2,983.88
  4. Step 4: Simplify right side
    4,959.34x = 22,167,513.07
  5. Step 5: Solve for x
    x = 22,167,513.07/4,959.34
  6. Step 6: Final answer
    x = 4,469.85

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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.