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Finding the Fourth Proportional to 4,949.62, 6,830.50 and 2,711.51

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Solution

The fourth proportional to 4,949.62, 6,830.50 and 2,711.51 is: 3,741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.62 : 6,830.50 = 2,711.51 : x
  2. Step 2: Convert to fraction form
    4,949.62/6,830.50 = 2,711.51/x
  3. Step 3: Cross multiply
    4,949.62x = 6,830.50 × 2,711.51
  4. Step 4: Simplify right side
    4,949.62x = 18,520,992.91
  5. Step 5: Solve for x
    x = 18,520,992.91/4,949.62
  6. Step 6: Final answer
    x = 3,741.90

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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.