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Finding the Fourth Proportional to 6,178.31, 8,523.95 and 3,523.80

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Solution

The fourth proportional to 6,178.31, 8,523.95 and 3,523.80 is: 4,861.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.31 : 8,523.95 = 3,523.80 : x
  2. Step 2: Convert to fraction form
    6,178.31/8,523.95 = 3,523.80/x
  3. Step 3: Cross multiply
    6,178.31x = 8,523.95 × 3,523.80
  4. Step 4: Simplify right side
    6,178.31x = 30,036,695.01
  5. Step 5: Solve for x
    x = 30,036,695.01/6,178.31
  6. Step 6: Final answer
    x = 4,861.64

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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.