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Finding the Fourth Proportional to 4,714.20, 6,511.05 and 4,083.75

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Solution

The fourth proportional to 4,714.20, 6,511.05 and 4,083.75 is: 5,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.20 : 6,511.05 = 4,083.75 : x
  2. Step 2: Convert to fraction form
    4,714.20/6,511.05 = 4,083.75/x
  3. Step 3: Cross multiply
    4,714.20x = 6,511.05 × 4,083.75
  4. Step 4: Simplify right side
    4,714.20x = 26,589,500.44
  5. Step 5: Solve for x
    x = 26,589,500.44/4,714.20
  6. Step 6: Final answer
    x = 5,640.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.