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Finding the Fourth Proportional to 5,773.60, 7,967.57 and 3,383.09

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Solution

The fourth proportional to 5,773.60, 7,967.57 and 3,383.09 is: 4,668.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.60 : 7,967.57 = 3,383.09 : x
  2. Step 2: Convert to fraction form
    5,773.60/7,967.57 = 3,383.09/x
  3. Step 3: Cross multiply
    5,773.60x = 7,967.57 × 3,383.09
  4. Step 4: Simplify right side
    5,773.60x = 26,955,032.14
  5. Step 5: Solve for x
    x = 26,955,032.14/5,773.60
  6. Step 6: Final answer
    x = 4,668.67

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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.