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Finding the Fourth Proportional to 5,473.26, 8,208.81 and 1,576.80

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Solution

The fourth proportional to 5,473.26, 8,208.81 and 1,576.80 is: 2,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.26 : 8,208.81 = 1,576.80 : x
  2. Step 2: Convert to fraction form
    5,473.26/8,208.81 = 1,576.80/x
  3. Step 3: Cross multiply
    5,473.26x = 8,208.81 × 1,576.80
  4. Step 4: Simplify right side
    5,473.26x = 12,943,651.61
  5. Step 5: Solve for x
    x = 12,943,651.61/5,473.26
  6. Step 6: Final answer
    x = 2,364.89

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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.