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Finding the Fourth Proportional to 3,654.57, 5,484.72 and 1,464.75

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Solution

The fourth proportional to 3,654.57, 5,484.72 and 1,464.75 is: 2,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.57 : 5,484.72 = 1,464.75 : x
  2. Step 2: Convert to fraction form
    3,654.57/5,484.72 = 1,464.75/x
  3. Step 3: Cross multiply
    3,654.57x = 5,484.72 × 1,464.75
  4. Step 4: Simplify right side
    3,654.57x = 8,033,743.62
  5. Step 5: Solve for x
    x = 8,033,743.62/3,654.57
  6. Step 6: Final answer
    x = 2,198.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.