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Finding the Fourth Proportional to 5,494.26, 8,241.38 and 1,598.70

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Solution

The fourth proportional to 5,494.26, 8,241.38 and 1,598.70 is: 2,398.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.26 : 8,241.38 = 1,598.70 : x
  2. Step 2: Convert to fraction form
    5,494.26/8,241.38 = 1,598.70/x
  3. Step 3: Cross multiply
    5,494.26x = 8,241.38 × 1,598.70
  4. Step 4: Simplify right side
    5,494.26x = 13,175,494.21
  5. Step 5: Solve for x
    x = 13,175,494.21/5,494.26
  6. Step 6: Final answer
    x = 2,398.05

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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.