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Finding the Fourth Proportional to 3,405.88, 5,104.50 and 2,581.57

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Solution

The fourth proportional to 3,405.88, 5,104.50 and 2,581.57 is: 3,869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.88 : 5,104.50 = 2,581.57 : x
  2. Step 2: Convert to fraction form
    3,405.88/5,104.50 = 2,581.57/x
  3. Step 3: Cross multiply
    3,405.88x = 5,104.50 × 2,581.57
  4. Step 4: Simplify right side
    3,405.88x = 13,177,624.07
  5. Step 5: Solve for x
    x = 13,177,624.07/3,405.88
  6. Step 6: Final answer
    x = 3,869.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.