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Finding the Fourth Proportional to 4,932.22, 6,805.64 and 2,942.14

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Solution

The fourth proportional to 4,932.22, 6,805.64 and 2,942.14 is: 4,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.22 : 6,805.64 = 2,942.14 : x
  2. Step 2: Convert to fraction form
    4,932.22/6,805.64 = 2,942.14/x
  3. Step 3: Cross multiply
    4,932.22x = 6,805.64 × 2,942.14
  4. Step 4: Simplify right side
    4,932.22x = 20,023,145.67
  5. Step 5: Solve for x
    x = 20,023,145.67/4,932.22
  6. Step 6: Final answer
    x = 4,059.66

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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.