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Finding the Fourth Proportional to 4,894.56, 7,356.96 and 3,175.20

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Solution

The fourth proportional to 4,894.56, 7,356.96 and 3,175.20 is: 4,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.56 : 7,356.96 = 3,175.20 : x
  2. Step 2: Convert to fraction form
    4,894.56/7,356.96 = 3,175.20/x
  3. Step 3: Cross multiply
    4,894.56x = 7,356.96 × 3,175.20
  4. Step 4: Simplify right side
    4,894.56x = 23,359,819.39
  5. Step 5: Solve for x
    x = 23,359,819.39/4,894.56
  6. Step 6: Final answer
    x = 4,772.61

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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.