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Finding the Fourth Proportional to 4,120.57, 5,684.43 and 3,001

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Solution

The fourth proportional to 4,120.57, 5,684.43 and 3,001 is: 4,139.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,120.57 : 5,684.43 = 3,001 : x
  2. Step 2: Convert to fraction form
    4,120.57/5,684.43 = 3,001/x
  3. Step 3: Cross multiply
    4,120.57x = 5,684.43 × 3,001
  4. Step 4: Simplify right side
    4,120.57x = 17,058,974.43
  5. Step 5: Solve for x
    x = 17,058,974.43/4,120.57
  6. Step 6: Final answer
    x = 4,139.96

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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.