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Finding the Fourth Proportional to 3,816.70, 5,725.05 and 3,190.30

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Solution

The fourth proportional to 3,816.70, 5,725.05 and 3,190.30 is: 4,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.70 : 5,725.05 = 3,190.30 : x
  2. Step 2: Convert to fraction form
    3,816.70/5,725.05 = 3,190.30/x
  3. Step 3: Cross multiply
    3,816.70x = 5,725.05 × 3,190.30
  4. Step 4: Simplify right side
    3,816.70x = 18,264,627.02
  5. Step 5: Solve for x
    x = 18,264,627.02/3,816.70
  6. Step 6: Final answer
    x = 4,785.45

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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.