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Finding the Fourth Proportional to 4,546.96, 6,820.17 and 4,423.84

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Solution

The fourth proportional to 4,546.96, 6,820.17 and 4,423.84 is: 6,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.96 : 6,820.17 = 4,423.84 : x
  2. Step 2: Convert to fraction form
    4,546.96/6,820.17 = 4,423.84/x
  3. Step 3: Cross multiply
    4,546.96x = 6,820.17 × 4,423.84
  4. Step 4: Simplify right side
    4,546.96x = 30,171,340.85
  5. Step 5: Solve for x
    x = 30,171,340.85/4,546.96
  6. Step 6: Final answer
    x = 6,635.50

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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.