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Finding the Fourth Proportional to 3,849.82, 5,777.20 and 3,818.50

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Solution

The fourth proportional to 3,849.82, 5,777.20 and 3,818.50 is: 5,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.82 : 5,777.20 = 3,818.50 : x
  2. Step 2: Convert to fraction form
    3,849.82/5,777.20 = 3,818.50/x
  3. Step 3: Cross multiply
    3,849.82x = 5,777.20 × 3,818.50
  4. Step 4: Simplify right side
    3,849.82x = 22,060,238.20
  5. Step 5: Solve for x
    x = 22,060,238.20/3,849.82
  6. Step 6: Final answer
    x = 5,730.20

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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.