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Finding the Fourth Proportional to 5,493.16, 8,241.06 and 1,597.60

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Solution

The fourth proportional to 5,493.16, 8,241.06 and 1,597.60 is: 2,396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.16 : 8,241.06 = 1,597.60 : x
  2. Step 2: Convert to fraction form
    5,493.16/8,241.06 = 1,597.60/x
  3. Step 3: Cross multiply
    5,493.16x = 8,241.06 × 1,597.60
  4. Step 4: Simplify right side
    5,493.16x = 13,165,917.46
  5. Step 5: Solve for x
    x = 13,165,917.46/5,493.16
  6. Step 6: Final answer
    x = 2,396.78

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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.