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Finding the Fourth Proportional to 6,178.68, 8,522.42 and 3,821.99

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Solution

The fourth proportional to 6,178.68, 8,522.42 and 3,821.99 is: 5,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.68 : 8,522.42 = 3,821.99 : x
  2. Step 2: Convert to fraction form
    6,178.68/8,522.42 = 3,821.99/x
  3. Step 3: Cross multiply
    6,178.68x = 8,522.42 × 3,821.99
  4. Step 4: Simplify right side
    6,178.68x = 32,572,542.29
  5. Step 5: Solve for x
    x = 32,572,542.29/6,178.68
  6. Step 6: Final answer
    x = 5,271.76

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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.