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Finding the Fourth Proportional to 3,546.57, 5,317.75 and 1,464.24

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Solution

The fourth proportional to 3,546.57, 5,317.75 and 1,464.24 is: 2,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.57 : 5,317.75 = 1,464.24 : x
  2. Step 2: Convert to fraction form
    3,546.57/5,317.75 = 1,464.24/x
  3. Step 3: Cross multiply
    3,546.57x = 5,317.75 × 1,464.24
  4. Step 4: Simplify right side
    3,546.57x = 7,786,462.26
  5. Step 5: Solve for x
    x = 7,786,462.26/3,546.57
  6. Step 6: Final answer
    x = 2,195.49

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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.