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Finding the Fourth Proportional to 3,845.72, 5,772.50 and 3,409.68

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Solution

The fourth proportional to 3,845.72, 5,772.50 and 3,409.68 is: 5,118.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,845.72 : 5,772.50 = 3,409.68 : x
  2. Step 2: Convert to fraction form
    3,845.72/5,772.50 = 3,409.68/x
  3. Step 3: Cross multiply
    3,845.72x = 5,772.50 × 3,409.68
  4. Step 4: Simplify right side
    3,845.72x = 19,682,377.80
  5. Step 5: Solve for x
    x = 19,682,377.80/3,845.72
  6. Step 6: Final answer
    x = 5,118.00

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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.