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Finding the Fourth Proportional to 5,493.52, 8,241.54 and 1,597.96

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Solution

The fourth proportional to 5,493.52, 8,241.54 and 1,597.96 is: 2,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.52 : 8,241.54 = 1,597.96 : x
  2. Step 2: Convert to fraction form
    5,493.52/8,241.54 = 1,597.96/x
  3. Step 3: Cross multiply
    5,493.52x = 8,241.54 × 1,597.96
  4. Step 4: Simplify right side
    5,493.52x = 13,169,651.26
  5. Step 5: Solve for x
    x = 13,169,651.26/5,493.52
  6. Step 6: Final answer
    x = 2,397.31

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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.