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Finding the Fourth Proportional to 5,951.34, 8,214.21 and 3,851.82

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Solution

The fourth proportional to 5,951.34, 8,214.21 and 3,851.82 is: 5,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.34 : 8,214.21 = 3,851.82 : x
  2. Step 2: Convert to fraction form
    5,951.34/8,214.21 = 3,851.82/x
  3. Step 3: Cross multiply
    5,951.34x = 8,214.21 × 3,851.82
  4. Step 4: Simplify right side
    5,951.34x = 31,639,658.36
  5. Step 5: Solve for x
    x = 31,639,658.36/5,951.34
  6. Step 6: Final answer
    x = 5,316.39

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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.