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Finding the Fourth Proportional to 5,493.44, 8,241.51 and 1,597.88

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Solution

The fourth proportional to 5,493.44, 8,241.51 and 1,597.88 is: 2,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.44 : 8,241.51 = 1,597.88 : x
  2. Step 2: Convert to fraction form
    5,493.44/8,241.51 = 1,597.88/x
  3. Step 3: Cross multiply
    5,493.44x = 8,241.51 × 1,597.88
  4. Step 4: Simplify right side
    5,493.44x = 13,168,944.00
  5. Step 5: Solve for x
    x = 13,168,944.00/5,493.44
  6. Step 6: Final answer
    x = 2,397.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.