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Finding the Fourth Proportional to 6,175.45, 8,522.25 and 3,656.63

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Solution

The fourth proportional to 6,175.45, 8,522.25 and 3,656.63 is: 5,046.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.45 : 8,522.25 = 3,656.63 : x
  2. Step 2: Convert to fraction form
    6,175.45/8,522.25 = 3,656.63/x
  3. Step 3: Cross multiply
    6,175.45x = 8,522.25 × 3,656.63
  4. Step 4: Simplify right side
    6,175.45x = 31,162,736.32
  5. Step 5: Solve for x
    x = 31,162,736.32/6,175.45
  6. Step 6: Final answer
    x = 5,046.23

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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.