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Finding the Fourth Proportional to 5,072.75, 7,609.14 and 1,994.75

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Solution

The fourth proportional to 5,072.75, 7,609.14 and 1,994.75 is: 2,992.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.75 : 7,609.14 = 1,994.75 : x
  2. Step 2: Convert to fraction form
    5,072.75/7,609.14 = 1,994.75/x
  3. Step 3: Cross multiply
    5,072.75x = 7,609.14 × 1,994.75
  4. Step 4: Simplify right side
    5,072.75x = 15,178,332.02
  5. Step 5: Solve for x
    x = 15,178,332.02/5,072.75
  6. Step 6: Final answer
    x = 2,992.13

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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.