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Finding the Fourth Proportional to 5,629.96, 7,764.78 and 4,301.56

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Solution

The fourth proportional to 5,629.96, 7,764.78 and 4,301.56 is: 5,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.96 : 7,764.78 = 4,301.56 : x
  2. Step 2: Convert to fraction form
    5,629.96/7,764.78 = 4,301.56/x
  3. Step 3: Cross multiply
    5,629.96x = 7,764.78 × 4,301.56
  4. Step 4: Simplify right side
    5,629.96x = 33,400,667.06
  5. Step 5: Solve for x
    x = 33,400,667.06/5,629.96
  6. Step 6: Final answer
    x = 5,932.67

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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.