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Finding the Fourth Proportional to 3,999.82, 5,521.28 and 3,146.88

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Solution

The fourth proportional to 3,999.82, 5,521.28 and 3,146.88 is: 4,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.82 : 5,521.28 = 3,146.88 : x
  2. Step 2: Convert to fraction form
    3,999.82/5,521.28 = 3,146.88/x
  3. Step 3: Cross multiply
    3,999.82x = 5,521.28 × 3,146.88
  4. Step 4: Simplify right side
    3,999.82x = 17,374,805.61
  5. Step 5: Solve for x
    x = 17,374,805.61/3,999.82
  6. Step 6: Final answer
    x = 4,343.90

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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.