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Finding the Fourth Proportional to 6,142.56, 8,476.74 and 3,348.06

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Solution

The fourth proportional to 6,142.56, 8,476.74 and 3,348.06 is: 4,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.56 : 8,476.74 = 3,348.06 : x
  2. Step 2: Convert to fraction form
    6,142.56/8,476.74 = 3,348.06/x
  3. Step 3: Cross multiply
    6,142.56x = 8,476.74 × 3,348.06
  4. Step 4: Simplify right side
    6,142.56x = 28,380,634.12
  5. Step 5: Solve for x
    x = 28,380,634.12/6,142.56
  6. Step 6: Final answer
    x = 4,620.33

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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.