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Finding the Fourth Proportional to 3,849.28, 5,770.28 and 1,873.66

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Solution

The fourth proportional to 3,849.28, 5,770.28 and 1,873.66 is: 2,808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.28 : 5,770.28 = 1,873.66 : x
  2. Step 2: Convert to fraction form
    3,849.28/5,770.28 = 1,873.66/x
  3. Step 3: Cross multiply
    3,849.28x = 5,770.28 × 1,873.66
  4. Step 4: Simplify right side
    3,849.28x = 10,811,542.82
  5. Step 5: Solve for x
    x = 10,811,542.82/3,849.28
  6. Step 6: Final answer
    x = 2,808.72

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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.