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Finding the Fourth Proportional to 3,849.16, 5,770.22 and 1,873.70

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Solution

The fourth proportional to 3,849.16, 5,770.22 and 1,873.70 is: 2,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.16 : 5,770.22 = 1,873.70 : x
  2. Step 2: Convert to fraction form
    3,849.16/5,770.22 = 1,873.70/x
  3. Step 3: Cross multiply
    3,849.16x = 5,770.22 × 1,873.70
  4. Step 4: Simplify right side
    3,849.16x = 10,811,661.21
  5. Step 5: Solve for x
    x = 10,811,661.21/3,849.16
  6. Step 6: Final answer
    x = 2,808.84

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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.