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Finding the Fourth Proportional to 4,365.60, 6,532.40 and 3,213.60

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Solution

The fourth proportional to 4,365.60, 6,532.40 and 3,213.60 is: 4,808.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.60 : 6,532.40 = 3,213.60 : x
  2. Step 2: Convert to fraction form
    4,365.60/6,532.40 = 3,213.60/x
  3. Step 3: Cross multiply
    4,365.60x = 6,532.40 × 3,213.60
  4. Step 4: Simplify right side
    4,365.60x = 20,992,520.64
  5. Step 5: Solve for x
    x = 20,992,520.64/4,365.60
  6. Step 6: Final answer
    x = 4,808.62

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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.