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Finding the Fourth Proportional to 4,166.90, 5,751.56 and 2,489.48

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Solution

The fourth proportional to 4,166.90, 5,751.56 and 2,489.48 is: 3,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.90 : 5,751.56 = 2,489.48 : x
  2. Step 2: Convert to fraction form
    4,166.90/5,751.56 = 2,489.48/x
  3. Step 3: Cross multiply
    4,166.90x = 5,751.56 × 2,489.48
  4. Step 4: Simplify right side
    4,166.90x = 14,318,393.59
  5. Step 5: Solve for x
    x = 14,318,393.59/4,166.90
  6. Step 6: Final answer
    x = 3,436.22

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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.