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Finding the Fourth Proportional to 4,133.70, 5,704.83 and 2,365.88

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Solution

The fourth proportional to 4,133.70, 5,704.83 and 2,365.88 is: 3,265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.70 : 5,704.83 = 2,365.88 : x
  2. Step 2: Convert to fraction form
    4,133.70/5,704.83 = 2,365.88/x
  3. Step 3: Cross multiply
    4,133.70x = 5,704.83 × 2,365.88
  4. Step 4: Simplify right side
    4,133.70x = 13,496,914.68
  5. Step 5: Solve for x
    x = 13,496,914.68/4,133.70
  6. Step 6: Final answer
    x = 3,265.09

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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.