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Finding the Fourth Proportional to 5,464.64, 8,193.72 and 2,543.60

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Solution

The fourth proportional to 5,464.64, 8,193.72 and 2,543.60 is: 3,813.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.64 : 8,193.72 = 2,543.60 : x
  2. Step 2: Convert to fraction form
    5,464.64/8,193.72 = 2,543.60/x
  3. Step 3: Cross multiply
    5,464.64x = 8,193.72 × 2,543.60
  4. Step 4: Simplify right side
    5,464.64x = 20,841,546.19
  5. Step 5: Solve for x
    x = 20,841,546.19/5,464.64
  6. Step 6: Final answer
    x = 3,813.89

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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.