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Finding the Fourth Proportional to 5,012.42, 6,914.30 and 3,021.84

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Solution

The fourth proportional to 5,012.42, 6,914.30 and 3,021.84 is: 4,168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.42 : 6,914.30 = 3,021.84 : x
  2. Step 2: Convert to fraction form
    5,012.42/6,914.30 = 3,021.84/x
  3. Step 3: Cross multiply
    5,012.42x = 6,914.30 × 3,021.84
  4. Step 4: Simplify right side
    5,012.42x = 20,893,893.20
  5. Step 5: Solve for x
    x = 20,893,893.20/5,012.42
  6. Step 6: Final answer
    x = 4,168.43

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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.