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Finding the Fourth Proportional to 5,959.02, 8,223.57 and 3,306.72

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Solution

The fourth proportional to 5,959.02, 8,223.57 and 3,306.72 is: 4,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.02 : 8,223.57 = 3,306.72 : x
  2. Step 2: Convert to fraction form
    5,959.02/8,223.57 = 3,306.72/x
  3. Step 3: Cross multiply
    5,959.02x = 8,223.57 × 3,306.72
  4. Step 4: Simplify right side
    5,959.02x = 27,193,043.39
  5. Step 5: Solve for x
    x = 27,193,043.39/5,959.02
  6. Step 6: Final answer
    x = 4,563.34

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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.