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Finding the Fourth Proportional to 6,278.38, 8,664.00 and 3,445.74

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Solution

The fourth proportional to 6,278.38, 8,664.00 and 3,445.74 is: 4,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.38 : 8,664.00 = 3,445.74 : x
  2. Step 2: Convert to fraction form
    6,278.38/8,664.00 = 3,445.74/x
  3. Step 3: Cross multiply
    6,278.38x = 8,664.00 × 3,445.74
  4. Step 4: Simplify right side
    6,278.38x = 29,853,878.44
  5. Step 5: Solve for x
    x = 29,853,878.44/6,278.38
  6. Step 6: Final answer
    x = 4,755.03

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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.