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Finding the Fourth Proportional to 5,493.69, 8,241.89 and 1,598.13

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Solution

The fourth proportional to 5,493.69, 8,241.89 and 1,598.13 is: 2,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.69 : 8,241.89 = 1,598.13 : x
  2. Step 2: Convert to fraction form
    5,493.69/8,241.89 = 1,598.13/x
  3. Step 3: Cross multiply
    5,493.69x = 8,241.89 × 1,598.13
  4. Step 4: Simplify right side
    5,493.69x = 13,171,603.68
  5. Step 5: Solve for x
    x = 13,171,603.68/5,493.69
  6. Step 6: Final answer
    x = 2,397.59

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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.