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Finding the Fourth Proportional to 4,949.57, 6,830.31 and 2,711.34

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Solution

The fourth proportional to 4,949.57, 6,830.31 and 2,711.34 is: 3,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.57 : 6,830.31 = 2,711.34 : x
  2. Step 2: Convert to fraction form
    4,949.57/6,830.31 = 2,711.34/x
  3. Step 3: Cross multiply
    4,949.57x = 6,830.31 × 2,711.34
  4. Step 4: Simplify right side
    4,949.57x = 18,519,292.72
  5. Step 5: Solve for x
    x = 18,519,292.72/4,949.57
  6. Step 6: Final answer
    x = 3,741.59

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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.