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Finding the Fourth Proportional to 3,422.70, 4,720.05 and 2,832.12

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Solution

The fourth proportional to 3,422.70, 4,720.05 and 2,832.12 is: 3,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.70 : 4,720.05 = 2,832.12 : x
  2. Step 2: Convert to fraction form
    3,422.70/4,720.05 = 2,832.12/x
  3. Step 3: Cross multiply
    3,422.70x = 4,720.05 × 2,832.12
  4. Step 4: Simplify right side
    3,422.70x = 13,367,748.01
  5. Step 5: Solve for x
    x = 13,367,748.01/3,422.70
  6. Step 6: Final answer
    x = 3,905.61

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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.