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Finding the Fourth Proportional to 6,305.78, 8,697.01 and 3,914.40

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Solution

The fourth proportional to 6,305.78, 8,697.01 and 3,914.40 is: 5,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.78 : 8,697.01 = 3,914.40 : x
  2. Step 2: Convert to fraction form
    6,305.78/8,697.01 = 3,914.40/x
  3. Step 3: Cross multiply
    6,305.78x = 8,697.01 × 3,914.40
  4. Step 4: Simplify right side
    6,305.78x = 34,043,576.15
  5. Step 5: Solve for x
    x = 34,043,576.15/6,305.78
  6. Step 6: Final answer
    x = 5,398.79

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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.