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Finding the Fourth Proportional to 3,034.97, 4,552.71 and 843.72

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Solution

The fourth proportional to 3,034.97, 4,552.71 and 843.72 is: 1,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034.97 : 4,552.71 = 843.72 : x
  2. Step 2: Convert to fraction form
    3,034.97/4,552.71 = 843.72/x
  3. Step 3: Cross multiply
    3,034.97x = 4,552.71 × 843.72
  4. Step 4: Simplify right side
    3,034.97x = 3,841,192.24
  5. Step 5: Solve for x
    x = 3,841,192.24/3,034.97
  6. Step 6: Final answer
    x = 1,265.64

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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.