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Finding the Fourth Proportional to 3,724.80, 5,145.60 and 3,609.60

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Solution

The fourth proportional to 3,724.80, 5,145.60 and 3,609.60 is: 4,986.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.80 : 5,145.60 = 3,609.60 : x
  2. Step 2: Convert to fraction form
    3,724.80/5,145.60 = 3,609.60/x
  3. Step 3: Cross multiply
    3,724.80x = 5,145.60 × 3,609.60
  4. Step 4: Simplify right side
    3,724.80x = 18,573,557.76
  5. Step 5: Solve for x
    x = 18,573,557.76/3,724.80
  6. Step 6: Final answer
    x = 4,986.46

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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.