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Finding the Fourth Proportional to 3,999.42, 5,527.17 and 3,416.22

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Solution

The fourth proportional to 3,999.42, 5,527.17 and 3,416.22 is: 4,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.42 : 5,527.17 = 3,416.22 : x
  2. Step 2: Convert to fraction form
    3,999.42/5,527.17 = 3,416.22/x
  3. Step 3: Cross multiply
    3,999.42x = 5,527.17 × 3,416.22
  4. Step 4: Simplify right side
    3,999.42x = 18,882,028.70
  5. Step 5: Solve for x
    x = 18,882,028.70/3,999.42
  6. Step 6: Final answer
    x = 4,721.19

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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.