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Finding the Fourth Proportional to 3,857.45, 5,323.79 and 2,365.09

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Solution

The fourth proportional to 3,857.45, 5,323.79 and 2,365.09 is: 3,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.45 : 5,323.79 = 2,365.09 : x
  2. Step 2: Convert to fraction form
    3,857.45/5,323.79 = 2,365.09/x
  3. Step 3: Cross multiply
    3,857.45x = 5,323.79 × 2,365.09
  4. Step 4: Simplify right side
    3,857.45x = 12,591,235.09
  5. Step 5: Solve for x
    x = 12,591,235.09/3,857.45
  6. Step 6: Final answer
    x = 3,264.14

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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.