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Finding the Fourth Proportional to 6,141.44, 8,475.12 and 3,346.96

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Solution

The fourth proportional to 6,141.44, 8,475.12 and 3,346.96 is: 4,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.44 : 8,475.12 = 3,346.96 : x
  2. Step 2: Convert to fraction form
    6,141.44/8,475.12 = 3,346.96/x
  3. Step 3: Cross multiply
    6,141.44x = 8,475.12 × 3,346.96
  4. Step 4: Simplify right side
    6,141.44x = 28,365,887.64
  5. Step 5: Solve for x
    x = 28,365,887.64/6,141.44
  6. Step 6: Final answer
    x = 4,618.77

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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.