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Finding the Fourth Proportional to 4,891.46, 7,337.54 and 1,969.78

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Solution

The fourth proportional to 4,891.46, 7,337.54 and 1,969.78 is: 2,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.46 : 7,337.54 = 1,969.78 : x
  2. Step 2: Convert to fraction form
    4,891.46/7,337.54 = 1,969.78/x
  3. Step 3: Cross multiply
    4,891.46x = 7,337.54 × 1,969.78
  4. Step 4: Simplify right side
    4,891.46x = 14,453,339.54
  5. Step 5: Solve for x
    x = 14,453,339.54/4,891.46
  6. Step 6: Final answer
    x = 2,954.81

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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.