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Finding the Fourth Proportional to 4,951.31, 7,428.11 and 1,441.40

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Solution

The fourth proportional to 4,951.31, 7,428.11 and 1,441.40 is: 2,162.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.31 : 7,428.11 = 1,441.40 : x
  2. Step 2: Convert to fraction form
    4,951.31/7,428.11 = 1,441.40/x
  3. Step 3: Cross multiply
    4,951.31x = 7,428.11 × 1,441.40
  4. Step 4: Simplify right side
    4,951.31x = 10,706,833.41
  5. Step 5: Solve for x
    x = 10,706,833.41/4,951.31
  6. Step 6: Final answer
    x = 2,162.43

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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.