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Finding the Fourth Proportional to 3,456.93, 4,771.29 and 2,040.09

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Solution

The fourth proportional to 3,456.93, 4,771.29 and 2,040.09 is: 2,815.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.93 : 4,771.29 = 2,040.09 : x
  2. Step 2: Convert to fraction form
    3,456.93/4,771.29 = 2,040.09/x
  3. Step 3: Cross multiply
    3,456.93x = 4,771.29 × 2,040.09
  4. Step 4: Simplify right side
    3,456.93x = 9,733,861.02
  5. Step 5: Solve for x
    x = 9,733,861.02/3,456.93
  6. Step 6: Final answer
    x = 2,815.75

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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.