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Finding the Fourth Proportional to 3,446.74, 5,170.14 and 1,597.33

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Solution

The fourth proportional to 3,446.74, 5,170.14 and 1,597.33 is: 2,396.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.74 : 5,170.14 = 1,597.33 : x
  2. Step 2: Convert to fraction form
    3,446.74/5,170.14 = 1,597.33/x
  3. Step 3: Cross multiply
    3,446.74x = 5,170.14 × 1,597.33
  4. Step 4: Simplify right side
    3,446.74x = 8,258,419.73
  5. Step 5: Solve for x
    x = 8,258,419.73/3,446.74
  6. Step 6: Final answer
    x = 2,396.01

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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.