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Finding the Fourth Proportional to 6,073.16, 8,380.67 and 3,420.50

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Solution

The fourth proportional to 6,073.16, 8,380.67 and 3,420.50 is: 4,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.16 : 8,380.67 = 3,420.50 : x
  2. Step 2: Convert to fraction form
    6,073.16/8,380.67 = 3,420.50/x
  3. Step 3: Cross multiply
    6,073.16x = 8,380.67 × 3,420.50
  4. Step 4: Simplify right side
    6,073.16x = 28,666,022.73
  5. Step 5: Solve for x
    x = 28,666,022.73/6,073.16
  6. Step 6: Final answer
    x = 4,720.12

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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.