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Finding the Fourth Proportional to 4,942.74, 6,821.64 and 2,847

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Solution

The fourth proportional to 4,942.74, 6,821.64 and 2,847 is: 3,929.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.74 : 6,821.64 = 2,847 : x
  2. Step 2: Convert to fraction form
    4,942.74/6,821.64 = 2,847/x
  3. Step 3: Cross multiply
    4,942.74x = 6,821.64 × 2,847
  4. Step 4: Simplify right side
    4,942.74x = 19,421,209.08
  5. Step 5: Solve for x
    x = 19,421,209.08/4,942.74
  6. Step 6: Final answer
    x = 3,929.24

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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.