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Finding the Fourth Proportional to 3,546.40, 5,318.70 and 1,464.70

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Solution

The fourth proportional to 3,546.40, 5,318.70 and 1,464.70 is: 2,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.40 : 5,318.70 = 1,464.70 : x
  2. Step 2: Convert to fraction form
    3,546.40/5,318.70 = 1,464.70/x
  3. Step 3: Cross multiply
    3,546.40x = 5,318.70 × 1,464.70
  4. Step 4: Simplify right side
    3,546.40x = 7,790,299.89
  5. Step 5: Solve for x
    x = 7,790,299.89/3,546.40
  6. Step 6: Final answer
    x = 2,196.68

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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.