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Finding the Fourth Proportional to 3,829.71, 5,748.17 and 1,883.31

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Solution

The fourth proportional to 3,829.71, 5,748.17 and 1,883.31 is: 2,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.71 : 5,748.17 = 1,883.31 : x
  2. Step 2: Convert to fraction form
    3,829.71/5,748.17 = 1,883.31/x
  3. Step 3: Cross multiply
    3,829.71x = 5,748.17 × 1,883.31
  4. Step 4: Simplify right side
    3,829.71x = 10,825,576.63
  5. Step 5: Solve for x
    x = 10,825,576.63/3,829.71
  6. Step 6: Final answer
    x = 2,826.74

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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.