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Finding the Fourth Proportional to 4,680.96, 7,026.50 and 4,164.27

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Solution

The fourth proportional to 4,680.96, 7,026.50 and 4,164.27 is: 6,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,680.96 : 7,026.50 = 4,164.27 : x
  2. Step 2: Convert to fraction form
    4,680.96/7,026.50 = 4,164.27/x
  3. Step 3: Cross multiply
    4,680.96x = 7,026.50 × 4,164.27
  4. Step 4: Simplify right side
    4,680.96x = 29,260,222.33
  5. Step 5: Solve for x
    x = 29,260,222.33/4,680.96
  6. Step 6: Final answer
    x = 6,250.90

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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.