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Finding the Fourth Proportional to 3,924.89, 5,886.07 and 1,733.57

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Solution

The fourth proportional to 3,924.89, 5,886.07 and 1,733.57 is: 2,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.89 : 5,886.07 = 1,733.57 : x
  2. Step 2: Convert to fraction form
    3,924.89/5,886.07 = 1,733.57/x
  3. Step 3: Cross multiply
    3,924.89x = 5,886.07 × 1,733.57
  4. Step 4: Simplify right side
    3,924.89x = 10,203,914.37
  5. Step 5: Solve for x
    x = 10,203,914.37/3,924.89
  6. Step 6: Final answer
    x = 2,599.80

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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.