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Finding the Fourth Proportional to 6,141.20, 8,474.44 and 3,346.64

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Solution

The fourth proportional to 6,141.20, 8,474.44 and 3,346.64 is: 4,618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.20 : 8,474.44 = 3,346.64 : x
  2. Step 2: Convert to fraction form
    6,141.20/8,474.44 = 3,346.64/x
  3. Step 3: Cross multiply
    6,141.20x = 8,474.44 × 3,346.64
  4. Step 4: Simplify right side
    6,141.20x = 28,360,899.88
  5. Step 5: Solve for x
    x = 28,360,899.88/6,141.20
  6. Step 6: Final answer
    x = 4,618.14

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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.