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Finding the Fourth Proportional to 4,756.20, 7,133.72 and 1,983.21

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Solution

The fourth proportional to 4,756.20, 7,133.72 and 1,983.21 is: 2,974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.20 : 7,133.72 = 1,983.21 : x
  2. Step 2: Convert to fraction form
    4,756.20/7,133.72 = 1,983.21/x
  3. Step 3: Cross multiply
    4,756.20x = 7,133.72 × 1,983.21
  4. Step 4: Simplify right side
    4,756.20x = 14,147,654.93
  5. Step 5: Solve for x
    x = 14,147,654.93/4,756.20
  6. Step 6: Final answer
    x = 2,974.57

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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.