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Finding the Fourth Proportional to 6,072.98, 8,380.63 and 3,420.42

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Solution

The fourth proportional to 6,072.98, 8,380.63 and 3,420.42 is: 4,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.98 : 8,380.63 = 3,420.42 : x
  2. Step 2: Convert to fraction form
    6,072.98/8,380.63 = 3,420.42/x
  3. Step 3: Cross multiply
    6,072.98x = 8,380.63 × 3,420.42
  4. Step 4: Simplify right side
    6,072.98x = 28,665,274.46
  5. Step 5: Solve for x
    x = 28,665,274.46/6,072.98
  6. Step 6: Final answer
    x = 4,720.13

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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.