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Finding the Fourth Proportional to 3,752.45, 5,634.45 and 3,175.04

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Solution

The fourth proportional to 3,752.45, 5,634.45 and 3,175.04 is: 4,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.45 : 5,634.45 = 3,175.04 : x
  2. Step 2: Convert to fraction form
    3,752.45/5,634.45 = 3,175.04/x
  3. Step 3: Cross multiply
    3,752.45x = 5,634.45 × 3,175.04
  4. Step 4: Simplify right side
    3,752.45x = 17,889,575.96
  5. Step 5: Solve for x
    x = 17,889,575.96/3,752.45
  6. Step 6: Final answer
    x = 4,767.45

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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.