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Finding the Fourth Proportional to 6,414.89, 8,852.61 and 3,620.39

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Solution

The fourth proportional to 6,414.89, 8,852.61 and 3,620.39 is: 4,996.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.89 : 8,852.61 = 3,620.39 : x
  2. Step 2: Convert to fraction form
    6,414.89/8,852.61 = 3,620.39/x
  3. Step 3: Cross multiply
    6,414.89x = 8,852.61 × 3,620.39
  4. Step 4: Simplify right side
    6,414.89x = 32,049,900.72
  5. Step 5: Solve for x
    x = 32,049,900.72/6,414.89
  6. Step 6: Final answer
    x = 4,996.17

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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.