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Finding the Fourth Proportional to 5,584.24, 7,704.61 and 3,461.33

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Solution

The fourth proportional to 5,584.24, 7,704.61 and 3,461.33 is: 4,775.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.24 : 7,704.61 = 3,461.33 : x
  2. Step 2: Convert to fraction form
    5,584.24/7,704.61 = 3,461.33/x
  3. Step 3: Cross multiply
    5,584.24x = 7,704.61 × 3,461.33
  4. Step 4: Simplify right side
    5,584.24x = 26,668,197.73
  5. Step 5: Solve for x
    x = 26,668,197.73/5,584.24
  6. Step 6: Final answer
    x = 4,775.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.