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Finding the Fourth Proportional to 4,993.28, 7,491 and 1,706.24

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Solution

The fourth proportional to 4,993.28, 7,491 and 1,706.24 is: 2,559.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.28 : 7,491 = 1,706.24 : x
  2. Step 2: Convert to fraction form
    4,993.28/7,491 = 1,706.24/x
  3. Step 3: Cross multiply
    4,993.28x = 7,491 × 1,706.24
  4. Step 4: Simplify right side
    4,993.28x = 12,781,443.84
  5. Step 5: Solve for x
    x = 12,781,443.84/4,993.28
  6. Step 6: Final answer
    x = 2,559.73

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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.