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Finding the Fourth Proportional to 4,756.34, 7,134.39 and 1,982.95

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Solution

The fourth proportional to 4,756.34, 7,134.39 and 1,982.95 is: 2,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.34 : 7,134.39 = 1,982.95 : x
  2. Step 2: Convert to fraction form
    4,756.34/7,134.39 = 1,982.95/x
  3. Step 3: Cross multiply
    4,756.34x = 7,134.39 × 1,982.95
  4. Step 4: Simplify right side
    4,756.34x = 14,147,120.81
  5. Step 5: Solve for x
    x = 14,147,120.81/4,756.34
  6. Step 6: Final answer
    x = 2,974.37

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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.