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Finding the Fourth Proportional to 4,693.34, 6,469.29 and 3,180.44

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Solution

The fourth proportional to 4,693.34, 6,469.29 and 3,180.44 is: 4,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.34 : 6,469.29 = 3,180.44 : x
  2. Step 2: Convert to fraction form
    4,693.34/6,469.29 = 3,180.44/x
  3. Step 3: Cross multiply
    4,693.34x = 6,469.29 × 3,180.44
  4. Step 4: Simplify right side
    4,693.34x = 20,575,156.34
  5. Step 5: Solve for x
    x = 20,575,156.34/4,693.34
  6. Step 6: Final answer
    x = 4,383.91

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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.