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Finding the Fourth Proportional to 3,546.62, 5,321.28 and 1,355.84

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Solution

The fourth proportional to 3,546.62, 5,321.28 and 1,355.84 is: 2,034.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.62 : 5,321.28 = 1,355.84 : x
  2. Step 2: Convert to fraction form
    3,546.62/5,321.28 = 1,355.84/x
  3. Step 3: Cross multiply
    3,546.62x = 5,321.28 × 1,355.84
  4. Step 4: Simplify right side
    3,546.62x = 7,214,804.28
  5. Step 5: Solve for x
    x = 7,214,804.28/3,546.62
  6. Step 6: Final answer
    x = 2,034.28

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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.