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Finding the Fourth Proportional to 6,142.26, 8,476.48 and 3,489.78

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Solution

The fourth proportional to 6,142.26, 8,476.48 and 3,489.78 is: 4,815.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.26 : 8,476.48 = 3,489.78 : x
  2. Step 2: Convert to fraction form
    6,142.26/8,476.48 = 3,489.78/x
  3. Step 3: Cross multiply
    6,142.26x = 8,476.48 × 3,489.78
  4. Step 4: Simplify right side
    6,142.26x = 29,581,050.37
  5. Step 5: Solve for x
    x = 29,581,050.37/6,142.26
  6. Step 6: Final answer
    x = 4,815.99

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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.