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Finding the Fourth Proportional to 4,129.35, 5,701.10 and 2,954.31

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Solution

The fourth proportional to 4,129.35, 5,701.10 and 2,954.31 is: 4,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.35 : 5,701.10 = 2,954.31 : x
  2. Step 2: Convert to fraction form
    4,129.35/5,701.10 = 2,954.31/x
  3. Step 3: Cross multiply
    4,129.35x = 5,701.10 × 2,954.31
  4. Step 4: Simplify right side
    4,129.35x = 16,842,801.97
  5. Step 5: Solve for x
    x = 16,842,801.97/4,129.35
  6. Step 6: Final answer
    x = 4,078.80

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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.