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Finding the Fourth Proportional to 4,797.26, 7,195.89 and 1,510.64

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Solution

The fourth proportional to 4,797.26, 7,195.89 and 1,510.64 is: 2,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.26 : 7,195.89 = 1,510.64 : x
  2. Step 2: Convert to fraction form
    4,797.26/7,195.89 = 1,510.64/x
  3. Step 3: Cross multiply
    4,797.26x = 7,195.89 × 1,510.64
  4. Step 4: Simplify right side
    4,797.26x = 10,870,399.27
  5. Step 5: Solve for x
    x = 10,870,399.27/4,797.26
  6. Step 6: Final answer
    x = 2,265.96

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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.