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Finding the Fourth Proportional to 4,556.43, 6,832.22 and 2,359.71

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Solution

The fourth proportional to 4,556.43, 6,832.22 and 2,359.71 is: 3,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,556.43 : 6,832.22 = 2,359.71 : x
  2. Step 2: Convert to fraction form
    4,556.43/6,832.22 = 2,359.71/x
  3. Step 3: Cross multiply
    4,556.43x = 6,832.22 × 2,359.71
  4. Step 4: Simplify right side
    4,556.43x = 16,122,046.06
  5. Step 5: Solve for x
    x = 16,122,046.06/4,556.43
  6. Step 6: Final answer
    x = 3,538.31

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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.