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Finding the Fourth Proportional to 4,115.21, 5,640.89 and 4,059.83

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Solution

The fourth proportional to 4,115.21, 5,640.89 and 4,059.83 is: 5,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.21 : 5,640.89 = 4,059.83 : x
  2. Step 2: Convert to fraction form
    4,115.21/5,640.89 = 4,059.83/x
  3. Step 3: Cross multiply
    4,115.21x = 5,640.89 × 4,059.83
  4. Step 4: Simplify right side
    4,115.21x = 22,901,054.45
  5. Step 5: Solve for x
    x = 22,901,054.45/4,115.21
  6. Step 6: Final answer
    x = 5,564.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.