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Finding the Fourth Proportional to 6,354.60, 8,768.81 and 3,702.26

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Solution

The fourth proportional to 6,354.60, 8,768.81 and 3,702.26 is: 5,108.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.60 : 8,768.81 = 3,702.26 : x
  2. Step 2: Convert to fraction form
    6,354.60/8,768.81 = 3,702.26/x
  3. Step 3: Cross multiply
    6,354.60x = 8,768.81 × 3,702.26
  4. Step 4: Simplify right side
    6,354.60x = 32,464,375.54
  5. Step 5: Solve for x
    x = 32,464,375.54/6,354.60
  6. Step 6: Final answer
    x = 5,108.80

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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.