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Finding the Fourth Proportional to 4,507.52, 6,755.60 and 2,165.60

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Solution

The fourth proportional to 4,507.52, 6,755.60 and 2,165.60 is: 3,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.52 : 6,755.60 = 2,165.60 : x
  2. Step 2: Convert to fraction form
    4,507.52/6,755.60 = 2,165.60/x
  3. Step 3: Cross multiply
    4,507.52x = 6,755.60 × 2,165.60
  4. Step 4: Simplify right side
    4,507.52x = 14,629,949.66
  5. Step 5: Solve for x
    x = 14,629,949.66/4,507.52
  6. Step 6: Final answer
    x = 3,245.68

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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.