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Finding the Fourth Proportional to 6,142.08, 8,474.58 and 3,489

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Solution

The fourth proportional to 6,142.08, 8,474.58 and 3,489 is: 4,813.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.08 : 8,474.58 = 3,489 : x
  2. Step 2: Convert to fraction form
    6,142.08/8,474.58 = 3,489/x
  3. Step 3: Cross multiply
    6,142.08x = 8,474.58 × 3,489
  4. Step 4: Simplify right side
    6,142.08x = 29,567,809.62
  5. Step 5: Solve for x
    x = 29,567,809.62/6,142.08
  6. Step 6: Final answer
    x = 4,813.97

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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.