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Finding the Fourth Proportional to 4,645.38, 6,961.89 and 4,026.20

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Solution

The fourth proportional to 4,645.38, 6,961.89 and 4,026.20 is: 6,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.38 : 6,961.89 = 4,026.20 : x
  2. Step 2: Convert to fraction form
    4,645.38/6,961.89 = 4,026.20/x
  3. Step 3: Cross multiply
    4,645.38x = 6,961.89 × 4,026.20
  4. Step 4: Simplify right side
    4,645.38x = 28,029,961.52
  5. Step 5: Solve for x
    x = 28,029,961.52/4,645.38
  6. Step 6: Final answer
    x = 6,033.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.