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Finding the Fourth Proportional to 4,169.88, 5,755.56 and 2,597.04

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Solution

The fourth proportional to 4,169.88, 5,755.56 and 2,597.04 is: 3,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.88 : 5,755.56 = 2,597.04 : x
  2. Step 2: Convert to fraction form
    4,169.88/5,755.56 = 2,597.04/x
  3. Step 3: Cross multiply
    4,169.88x = 5,755.56 × 2,597.04
  4. Step 4: Simplify right side
    4,169.88x = 14,947,419.54
  5. Step 5: Solve for x
    x = 14,947,419.54/4,169.88
  6. Step 6: Final answer
    x = 3,584.62

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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.