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Finding the Fourth Proportional to 3,644.52, 5,466.16 and 1,452.66

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Solution

The fourth proportional to 3,644.52, 5,466.16 and 1,452.66 is: 2,178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.52 : 5,466.16 = 1,452.66 : x
  2. Step 2: Convert to fraction form
    3,644.52/5,466.16 = 1,452.66/x
  3. Step 3: Cross multiply
    3,644.52x = 5,466.16 × 1,452.66
  4. Step 4: Simplify right side
    3,644.52x = 7,940,471.99
  5. Step 5: Solve for x
    x = 7,940,471.99/3,644.52
  6. Step 6: Final answer
    x = 2,178.74

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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.