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Finding the Fourth Proportional to 3,644, 5,464.70 and 1,452.14

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Solution

The fourth proportional to 3,644, 5,464.70 and 1,452.14 is: 2,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644 : 5,464.70 = 1,452.14 : x
  2. Step 2: Convert to fraction form
    3,644/5,464.70 = 1,452.14/x
  3. Step 3: Cross multiply
    3,644x = 5,464.70 × 1,452.14
  4. Step 4: Simplify right side
    3,644x = 7,935,509.46
  5. Step 5: Solve for x
    x = 7,935,509.46/3,644
  6. Step 6: Final answer
    x = 2,177.69

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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.