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Finding the Fourth Proportional to 4,167.88, 5,741.91 and 2,906.65

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Solution

The fourth proportional to 4,167.88, 5,741.91 and 2,906.65 is: 4,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.88 : 5,741.91 = 2,906.65 : x
  2. Step 2: Convert to fraction form
    4,167.88/5,741.91 = 2,906.65/x
  3. Step 3: Cross multiply
    4,167.88x = 5,741.91 × 2,906.65
  4. Step 4: Simplify right side
    4,167.88x = 16,689,722.70
  5. Step 5: Solve for x
    x = 16,689,722.70/4,167.88
  6. Step 6: Final answer
    x = 4,004.37

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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.