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Finding the Fourth Proportional to 5,629.83, 7,768.95 and 3,112.14

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Solution

The fourth proportional to 5,629.83, 7,768.95 and 3,112.14 is: 4,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.83 : 7,768.95 = 3,112.14 : x
  2. Step 2: Convert to fraction form
    5,629.83/7,768.95 = 3,112.14/x
  3. Step 3: Cross multiply
    5,629.83x = 7,768.95 × 3,112.14
  4. Step 4: Simplify right side
    5,629.83x = 24,178,060.05
  5. Step 5: Solve for x
    x = 24,178,060.05/5,629.83
  6. Step 6: Final answer
    x = 4,294.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.