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Finding the Fourth Proportional to 4,678.14, 7,012.89 and 1,754.22

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Solution

The fourth proportional to 4,678.14, 7,012.89 and 1,754.22 is: 2,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.14 : 7,012.89 = 1,754.22 : x
  2. Step 2: Convert to fraction form
    4,678.14/7,012.89 = 1,754.22/x
  3. Step 3: Cross multiply
    4,678.14x = 7,012.89 × 1,754.22
  4. Step 4: Simplify right side
    4,678.14x = 12,302,151.90
  5. Step 5: Solve for x
    x = 12,302,151.90/4,678.14
  6. Step 6: Final answer
    x = 2,629.71

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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.