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Finding the Fourth Proportional to 3,857.09, 5,783.40 and 3,395.79

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Solution

The fourth proportional to 3,857.09, 5,783.40 and 3,395.79 is: 5,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.09 : 5,783.40 = 3,395.79 : x
  2. Step 2: Convert to fraction form
    3,857.09/5,783.40 = 3,395.79/x
  3. Step 3: Cross multiply
    3,857.09x = 5,783.40 × 3,395.79
  4. Step 4: Simplify right side
    3,857.09x = 19,639,211.89
  5. Step 5: Solve for x
    x = 19,639,211.89/3,857.09
  6. Step 6: Final answer
    x = 5,091.72

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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.