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Finding the Fourth Proportional to 4,863.41, 7,295.21 and 1,576.49

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Solution

The fourth proportional to 4,863.41, 7,295.21 and 1,576.49 is: 2,364.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.41 : 7,295.21 = 1,576.49 : x
  2. Step 2: Convert to fraction form
    4,863.41/7,295.21 = 1,576.49/x
  3. Step 3: Cross multiply
    4,863.41x = 7,295.21 × 1,576.49
  4. Step 4: Simplify right side
    4,863.41x = 11,500,817.73
  5. Step 5: Solve for x
    x = 11,500,817.73/4,863.41
  6. Step 6: Final answer
    x = 2,364.77

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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.