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Finding the Fourth Proportional to 6,175.88, 8,523.30 and 3,381.80

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Solution

The fourth proportional to 6,175.88, 8,523.30 and 3,381.80 is: 4,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.88 : 8,523.30 = 3,381.80 : x
  2. Step 2: Convert to fraction form
    6,175.88/8,523.30 = 3,381.80/x
  3. Step 3: Cross multiply
    6,175.88x = 8,523.30 × 3,381.80
  4. Step 4: Simplify right side
    6,175.88x = 28,824,095.94
  5. Step 5: Solve for x
    x = 28,824,095.94/6,175.88
  6. Step 6: Final answer
    x = 4,667.20

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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.