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Finding the Fourth Proportional to 3,866.94, 5,800.23 and 945.09

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Solution

The fourth proportional to 3,866.94, 5,800.23 and 945.09 is: 1,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.94 : 5,800.23 = 945.09 : x
  2. Step 2: Convert to fraction form
    3,866.94/5,800.23 = 945.09/x
  3. Step 3: Cross multiply
    3,866.94x = 5,800.23 × 945.09
  4. Step 4: Simplify right side
    3,866.94x = 5,481,739.37
  5. Step 5: Solve for x
    x = 5,481,739.37/3,866.94
  6. Step 6: Final answer
    x = 1,417.59

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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.