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Finding the Fourth Proportional to 4,302.21, 5,932.54 and 3,185.33

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Solution

The fourth proportional to 4,302.21, 5,932.54 and 3,185.33 is: 4,392.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.21 : 5,932.54 = 3,185.33 : x
  2. Step 2: Convert to fraction form
    4,302.21/5,932.54 = 3,185.33/x
  3. Step 3: Cross multiply
    4,302.21x = 5,932.54 × 3,185.33
  4. Step 4: Simplify right side
    4,302.21x = 18,897,071.96
  5. Step 5: Solve for x
    x = 18,897,071.96/4,302.21
  6. Step 6: Final answer
    x = 4,392.41

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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.