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Finding the Fourth Proportional to 4,166.39, 5,749.54 and 2,488.17

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Solution

The fourth proportional to 4,166.39, 5,749.54 and 2,488.17 is: 3,433.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.39 : 5,749.54 = 2,488.17 : x
  2. Step 2: Convert to fraction form
    4,166.39/5,749.54 = 2,488.17/x
  3. Step 3: Cross multiply
    4,166.39x = 5,749.54 × 2,488.17
  4. Step 4: Simplify right side
    4,166.39x = 14,305,857.61
  5. Step 5: Solve for x
    x = 14,305,857.61/4,166.39
  6. Step 6: Final answer
    x = 3,433.63

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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.