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Finding the Fourth Proportional to 6,182.56, 8,532.67 and 3,493.90

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Solution

The fourth proportional to 6,182.56, 8,532.67 and 3,493.90 is: 4,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.56 : 8,532.67 = 3,493.90 : x
  2. Step 2: Convert to fraction form
    6,182.56/8,532.67 = 3,493.90/x
  3. Step 3: Cross multiply
    6,182.56x = 8,532.67 × 3,493.90
  4. Step 4: Simplify right side
    6,182.56x = 29,812,253.05
  5. Step 5: Solve for x
    x = 29,812,253.05/6,182.56
  6. Step 6: Final answer
    x = 4,822.00

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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.