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Finding the Fourth Proportional to 6,583.40, 9,076.21 and 4,221.44

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Solution

The fourth proportional to 6,583.40, 9,076.21 and 4,221.44 is: 5,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.40 : 9,076.21 = 4,221.44 : x
  2. Step 2: Convert to fraction form
    6,583.40/9,076.21 = 4,221.44/x
  3. Step 3: Cross multiply
    6,583.40x = 9,076.21 × 4,221.44
  4. Step 4: Simplify right side
    6,583.40x = 38,314,620.01
  5. Step 5: Solve for x
    x = 38,314,620.01/6,583.40
  6. Step 6: Final answer
    x = 5,819.89

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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.