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Finding the Fourth Proportional to 4,166.26, 5,749.68 and 2,397.82

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Solution

The fourth proportional to 4,166.26, 5,749.68 and 2,397.82 is: 3,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.26 : 5,749.68 = 2,397.82 : x
  2. Step 2: Convert to fraction form
    4,166.26/5,749.68 = 2,397.82/x
  3. Step 3: Cross multiply
    4,166.26x = 5,749.68 × 2,397.82
  4. Step 4: Simplify right side
    4,166.26x = 13,786,697.70
  5. Step 5: Solve for x
    x = 13,786,697.70/4,166.26
  6. Step 6: Final answer
    x = 3,309.13

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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.