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Finding the Fourth Proportional to 4,166.55, 5,749.92 and 2,488.73

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Solution

The fourth proportional to 4,166.55, 5,749.92 and 2,488.73 is: 3,434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.55 : 5,749.92 = 2,488.73 : x
  2. Step 2: Convert to fraction form
    4,166.55/5,749.92 = 2,488.73/x
  3. Step 3: Cross multiply
    4,166.55x = 5,749.92 × 2,488.73
  4. Step 4: Simplify right side
    4,166.55x = 14,309,969.65
  5. Step 5: Solve for x
    x = 14,309,969.65/4,166.55
  6. Step 6: Final answer
    x = 3,434.49

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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.