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Finding the Fourth Proportional to 3,866.23, 5,799.05 and 1,233.63

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Solution

The fourth proportional to 3,866.23, 5,799.05 and 1,233.63 is: 1,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.23 : 5,799.05 = 1,233.63 : x
  2. Step 2: Convert to fraction form
    3,866.23/5,799.05 = 1,233.63/x
  3. Step 3: Cross multiply
    3,866.23x = 5,799.05 × 1,233.63
  4. Step 4: Simplify right side
    3,866.23x = 7,153,858.76
  5. Step 5: Solve for x
    x = 7,153,858.76/3,866.23
  6. Step 6: Final answer
    x = 1,850.35

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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.