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Finding the Fourth Proportional to 4,171.69, 5,756.07 and 2,679.40

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Solution

The fourth proportional to 4,171.69, 5,756.07 and 2,679.40 is: 3,697.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.69 : 5,756.07 = 2,679.40 : x
  2. Step 2: Convert to fraction form
    4,171.69/5,756.07 = 2,679.40/x
  3. Step 3: Cross multiply
    4,171.69x = 5,756.07 × 2,679.40
  4. Step 4: Simplify right side
    4,171.69x = 15,422,813.96
  5. Step 5: Solve for x
    x = 15,422,813.96/4,171.69
  6. Step 6: Final answer
    x = 3,697.02

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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.