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Finding the Fourth Proportional to 4,676.48, 7,024.43 and 3,709.34

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Solution

The fourth proportional to 4,676.48, 7,024.43 and 3,709.34 is: 5,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.48 : 7,024.43 = 3,709.34 : x
  2. Step 2: Convert to fraction form
    4,676.48/7,024.43 = 3,709.34/x
  3. Step 3: Cross multiply
    4,676.48x = 7,024.43 × 3,709.34
  4. Step 4: Simplify right side
    4,676.48x = 26,055,973.33
  5. Step 5: Solve for x
    x = 26,055,973.33/4,676.48
  6. Step 6: Final answer
    x = 5,571.71

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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.