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Finding the Fourth Proportional to 5,175.66, 7,767.09 and 2,252.46

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Solution

The fourth proportional to 5,175.66, 7,767.09 and 2,252.46 is: 3,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.66 : 7,767.09 = 2,252.46 : x
  2. Step 2: Convert to fraction form
    5,175.66/7,767.09 = 2,252.46/x
  3. Step 3: Cross multiply
    5,175.66x = 7,767.09 × 2,252.46
  4. Step 4: Simplify right side
    5,175.66x = 17,495,059.54
  5. Step 5: Solve for x
    x = 17,495,059.54/5,175.66
  6. Step 6: Final answer
    x = 3,380.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.