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Finding the Fourth Proportional to 3,494.25, 5,241.38 and 897.19

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Solution

The fourth proportional to 3,494.25, 5,241.38 and 897.19 is: 1,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.25 : 5,241.38 = 897.19 : x
  2. Step 2: Convert to fraction form
    3,494.25/5,241.38 = 897.19/x
  3. Step 3: Cross multiply
    3,494.25x = 5,241.38 × 897.19
  4. Step 4: Simplify right side
    3,494.25x = 4,702,496.13
  5. Step 5: Solve for x
    x = 4,702,496.13/3,494.25
  6. Step 6: Final answer
    x = 1,345.78

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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.