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Finding the Fourth Proportional to 4,166.88, 5,749.29 and 2,593.86

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Solution

The fourth proportional to 4,166.88, 5,749.29 and 2,593.86 is: 3,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.88 : 5,749.29 = 2,593.86 : x
  2. Step 2: Convert to fraction form
    4,166.88/5,749.29 = 2,593.86/x
  3. Step 3: Cross multiply
    4,166.88x = 5,749.29 × 2,593.86
  4. Step 4: Simplify right side
    4,166.88x = 14,912,853.36
  5. Step 5: Solve for x
    x = 14,912,853.36/4,166.88
  6. Step 6: Final answer
    x = 3,578.90

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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.