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Finding the Fourth Proportional to 3,504.68, 5,257.02 and 2,405.71

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Solution

The fourth proportional to 3,504.68, 5,257.02 and 2,405.71 is: 3,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.68 : 5,257.02 = 2,405.71 : x
  2. Step 2: Convert to fraction form
    3,504.68/5,257.02 = 2,405.71/x
  3. Step 3: Cross multiply
    3,504.68x = 5,257.02 × 2,405.71
  4. Step 4: Simplify right side
    3,504.68x = 12,646,859.57
  5. Step 5: Solve for x
    x = 12,646,859.57/3,504.68
  6. Step 6: Final answer
    x = 3,608.57

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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.