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Finding the Fourth Proportional to 5,494.25, 8,241.39 and 1,598.75

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Solution

The fourth proportional to 5,494.25, 8,241.39 and 1,598.75 is: 2,398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.25 : 8,241.39 = 1,598.75 : x
  2. Step 2: Convert to fraction form
    5,494.25/8,241.39 = 1,598.75/x
  3. Step 3: Cross multiply
    5,494.25x = 8,241.39 × 1,598.75
  4. Step 4: Simplify right side
    5,494.25x = 13,175,922.26
  5. Step 5: Solve for x
    x = 13,175,922.26/5,494.25
  6. Step 6: Final answer
    x = 2,398.13

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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.