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Finding the Fourth Proportional to 5,469.76, 8,205.48 and 1,959.52

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Solution

The fourth proportional to 5,469.76, 8,205.48 and 1,959.52 is: 2,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,469.76 : 8,205.48 = 1,959.52 : x
  2. Step 2: Convert to fraction form
    5,469.76/8,205.48 = 1,959.52/x
  3. Step 3: Cross multiply
    5,469.76x = 8,205.48 × 1,959.52
  4. Step 4: Simplify right side
    5,469.76x = 16,078,802.17
  5. Step 5: Solve for x
    x = 16,078,802.17/5,469.76
  6. Step 6: Final answer
    x = 2,939.58

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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.