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Finding the Fourth Proportional to 4,234.26, 6,354.02 and 2,043.20

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Solution

The fourth proportional to 4,234.26, 6,354.02 and 2,043.20 is: 3,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.26 : 6,354.02 = 2,043.20 : x
  2. Step 2: Convert to fraction form
    4,234.26/6,354.02 = 2,043.20/x
  3. Step 3: Cross multiply
    4,234.26x = 6,354.02 × 2,043.20
  4. Step 4: Simplify right side
    4,234.26x = 12,982,533.66
  5. Step 5: Solve for x
    x = 12,982,533.66/4,234.26
  6. Step 6: Final answer
    x = 3,066.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.