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Finding the Fourth Proportional to 3,564.73, 5,347.77 and 1,617.09

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Solution

The fourth proportional to 3,564.73, 5,347.77 and 1,617.09 is: 2,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.73 : 5,347.77 = 1,617.09 : x
  2. Step 2: Convert to fraction form
    3,564.73/5,347.77 = 1,617.09/x
  3. Step 3: Cross multiply
    3,564.73x = 5,347.77 × 1,617.09
  4. Step 4: Simplify right side
    3,564.73x = 8,647,798.65
  5. Step 5: Solve for x
    x = 8,647,798.65/3,564.73
  6. Step 6: Final answer
    x = 2,425.93

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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.