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Finding the Fourth Proportional to 3,833.30, 5,751.30 and 1,884.20

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Solution

The fourth proportional to 3,833.30, 5,751.30 and 1,884.20 is: 2,826.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.30 : 5,751.30 = 1,884.20 : x
  2. Step 2: Convert to fraction form
    3,833.30/5,751.30 = 1,884.20/x
  3. Step 3: Cross multiply
    3,833.30x = 5,751.30 × 1,884.20
  4. Step 4: Simplify right side
    3,833.30x = 10,836,599.46
  5. Step 5: Solve for x
    x = 10,836,599.46/3,833.30
  6. Step 6: Final answer
    x = 2,826.96

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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.