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Finding the Fourth Proportional to 5,951.48, 8,209.38 and 3,934.88

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Solution

The fourth proportional to 5,951.48, 8,209.38 and 3,934.88 is: 5,427.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.48 : 8,209.38 = 3,934.88 : x
  2. Step 2: Convert to fraction form
    5,951.48/8,209.38 = 3,934.88/x
  3. Step 3: Cross multiply
    5,951.48x = 8,209.38 × 3,934.88
  4. Step 4: Simplify right side
    5,951.48x = 32,302,929.67
  5. Step 5: Solve for x
    x = 32,302,929.67/5,951.48
  6. Step 6: Final answer
    x = 5,427.72

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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.