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Finding the Fourth Proportional to 4,141.92, 6,214.80 and 1,833.12

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Solution

The fourth proportional to 4,141.92, 6,214.80 and 1,833.12 is: 2,750.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.92 : 6,214.80 = 1,833.12 : x
  2. Step 2: Convert to fraction form
    4,141.92/6,214.80 = 1,833.12/x
  3. Step 3: Cross multiply
    4,141.92x = 6,214.80 × 1,833.12
  4. Step 4: Simplify right side
    4,141.92x = 11,392,474.18
  5. Step 5: Solve for x
    x = 11,392,474.18/4,141.92
  6. Step 6: Final answer
    x = 2,750.53

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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.