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Finding the Fourth Proportional to 3,793.59, 5,232.06 and 3,185.60

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Solution

The fourth proportional to 3,793.59, 5,232.06 and 3,185.60 is: 4,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.59 : 5,232.06 = 3,185.60 : x
  2. Step 2: Convert to fraction form
    3,793.59/5,232.06 = 3,185.60/x
  3. Step 3: Cross multiply
    3,793.59x = 5,232.06 × 3,185.60
  4. Step 4: Simplify right side
    3,793.59x = 16,667,224.18
  5. Step 5: Solve for x
    x = 16,667,224.18/3,793.59
  6. Step 6: Final answer
    x = 4,393.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.