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Finding the Fourth Proportional to 4,720.68, 7,086.69 and 2,774.25

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Solution

The fourth proportional to 4,720.68, 7,086.69 and 2,774.25 is: 4,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.68 : 7,086.69 = 2,774.25 : x
  2. Step 2: Convert to fraction form
    4,720.68/7,086.69 = 2,774.25/x
  3. Step 3: Cross multiply
    4,720.68x = 7,086.69 × 2,774.25
  4. Step 4: Simplify right side
    4,720.68x = 19,660,249.73
  5. Step 5: Solve for x
    x = 19,660,249.73/4,720.68
  6. Step 6: Final answer
    x = 4,164.71

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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.